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Publications
Edited Books
B1. R.C. King, M. Bylicki and J. Karwowski, Symmetry, Spectroscopy and SCHUR, Proceedings of
Prof B.G, Wybourne Commemorative Meeting, Torun. Nicolaus Copernicus University Press,
Torun, (2006), i-iv, 1-382
Conference Papers
C1. King R.C. Branching rules using tensor
methods, Proceedings of 4th ICGTMP Nijmegen:
University of Nijmegen, 1975, 400‑408.
C2. King
R.C. Kronecker products and modification rules for spin representations
Proceedings of 4th
ICGTMP 2 Nijmegen: University of Nijmegen, 1975, 572‑574.
C3. King
R.C. Spinor representations, Lecture
Notes in Physics 50, Berlin: Springer, 1976, 481‑489.
C4. King
R.C. Weight multiplicities for the
classical groups, Lecture Notes in Physics 50, Berlin: Springer, 1976,
490‑499.
C5. King R.C. and Qubanchi A.H.A. Branching rule SO(7) G2, Lecture
Notes in Physics 79, Berlin: Springer, 1978, 497‑499.
C6. King R.C. and Qubanchi A.H.A. Weight multiplicities of the exceptional Lie
groups, Lecture Notes in Physics 94 Berlin: Springer, 1979, 530‑531.
C7. King
R.C. U(1)
factors in branching rules, Physica 114A, 1982, 345‑349.
C8. King
R.C. Group theory
of unified gauge models and tumbling, Physica 114A, 1982 393‑397.
C9. King
R.C. Generalised Young tableaux for
Lie algebras and superalgebras
Lecture Notes in Physics 180 Berlin:
Springer, 1983, 41‑47.
C10. King
R.C. Supersymmetric functions and
the Lie supergroup U(m/n), Ars Comb 16A, 1983,
269‑287.
C11. King
R.C. Young diagram techniques and
representations of classical Lie groups and supergroups, Proceedings of 14th
ICGTMP, Ed Y M Cho, Singapore: World Scientific
Pub, 1986, 199‑204.
C12. King, R.C. String and superstring spectra. In Symmetries in Science
III, Ed. B. Gruber. Plenum Press, New York, 1989, 545-558.
C13. King, R.C. S‑functions and characters of Lie algebras
and superalgebras. In Invariant theory and tableaux, Ed. D.
Stanton, Vol. 19 of IMA Volumes in Mathematics and its Applications, Springer‑Verlag,
New York, 1989, 226-261.
C14. Van der Jeugt J., Hughes J.W.B., King R.C.
and Thierry-Meig J. Representations of sl(m/n)
and their characters. In Proceedings
of the CMS Seminar on Lie theory, differential equations and representation
theory, Ed. V. Hussin, CRM, Montreal, 1990, 233-252.
C15. King R.C. S-functions and characters of Lie algebras and Lie
groups. In Topics in Algebra:
Part 2 Commutative Rings and Algebraic Groups, Eds. S. Balcerzyk,
T. Josefiak, J. Kerempa, D. Simson and W. Vogel, Banach Center
Publications, Vol. 26, PWN-Polish Scientific Publishers, Warsaw, 1990, 327-344.
C16. King
R.C., Van der Jeugt J., Hughes
J.W.B. and Thierry-Mieg J. Atypical modules of the Lie
superalgebra gl(m/n).
In Group Theoretical Methods in Physics, Proceedings, Moscow, 1990,
Ed. V.V. Dodonov and V.I. Man'ko, Lecture Notes in Physics Vol 382,
Springer-Verlag, 1991, 512-515.
C17. King
R.C., Hughes J.W.B. and Van der Jeugt J. The composition factors of Kac
modules of sl(M/N).
In Group Theoretical Methods in Physics, Proceedings, Moscow, 1990,
Ed. V.V. Dodonov and V.I. Man'ko, Lecture Notes in Physics Vol. 382, Springer-Verlag,
Berlin, 1991, 522-526.
C18. King R.C. and Welsh T.A. Tensor products for affine Kac
Moody algebras. In Group
Theoretical Methods in Physics, Proceedings, Moscow, 1990, Ed.
V.V. Dodonov and V.I. Man'ko, Lecture Notes in Physics vol 382, Springer-Verlag,
Berlin, 1991, 508-511.
C19. Fulling
S.A., Cummins C.J., King, R.C. and Wybourne B.G. Group-theoretical
classification of polynomial functions. In Classical and Quantum Systems - Foundations and Symmetries,
Ed. H-D. Doebner, W. Scherer and F. Schroeck, World Scientific
Publishing, Singapore, 1993, 362-365
C20. Cummins
C.J. and King R.C. Characters of Hecke algebras of type An-1: I.
The generic case. In Group
Theoretical Methods in Physics, Proceedings, Salamanca, 1992, Vol I, Eds.
M.A. del Olmo, M. Santander and J. Mateos Guilarte, CIEMA/RSEF, Madrid, 1993,
363-366.
C21. Cummins
C.J. and King R.C. Characters of Hecke algebras of type An-1:
II. The non-generic case. In Group Theoretical Methods in Physics,
Proceedings, Salamanca, 1992, Vol I, Eds. M.A. del Olmo, M. Santander and
J. Mateos Guilarte, CIEMA/RSEF, Madrid, 1993, 367-370.
C22. King
R.C. Lie superalgebras: their representations and an application to a
supersymmetric quantum spin chain model.
In Symmetries and Structural Properties of Condensed Matter, Eds.
W. Florek, D. Lipinski and T. Lulek, World Scientific Press, Singapore, 1993,
55-66.
C23. King R.C. Hecke algebras: their
representations and an application to a supersymmetric quantum spin chain
model. In Symmetries and Structural
Properties of Condensed Matter, Eds. W. Florek, D. Lipinski and T. Lulek,
World Scientific Press, Singapore, 1993, 57-78.
C24. King R.C. and Welsh T.A. Representations of quantum
algebras. In Symmetries and
Structural Properties of Condensed Matter, Eds. W. Florek, D. Lipinski and
T. Lulek, World Scientific Press, Singapore, 1995, 183-196.
C25. Hussin A. and King R.C.
Characters of affine Kac-Moody algebras.
In Group 21, Eds. H.-D.Doebner, P. Nattermann and W. Scherer,
World Scientific , Singapore, 1997, 157-166.
C26. Hussin A. and King R.C.
Affine Kac-Moody algebras and their representations. In Symmetries and Structural Properties of
Condensed Matter, Eds. T. Lulek, W. Florek and B. Lulek, World
Scientific Publishing, Singapore, 1997, 296-309.
C27. King R.C. Some analogies between the
representation theory of SO(2n) and Sp(2n). In Symmetries
and Structural Properties of Condensed Matter V, Eds. T. Lulek, W. Florek
and B. Lulek, World Scientific Publishing, Singapore, 1999, 138-151.
C28.
King R.C. Weight multiplicities and branching rules
for simple and affine Lie algebras. In Algebraic Methods in Physics:
A Symposium for the 60th Birthdays of
Jiri Patera and Pavel Winternitz, Eds. Y Saint-Aubin and L. Vinet,
CRM Series in Mathematical Physics, New York, USA, Springer-Verlag, 2001, pp
121-133.
C29.
King R.C.
Weyl's denominator identity and its deformations. In Symmetries and
Structural Properties of Condensed Matter VI, Eds. T. Lulek, B. Lulek and
A. Wal, World Scientific Publishing, Singapore, 2001, 138-151.
C30.
King R.C. Progress on numerator formulae expansions
for Kac-Moody algebras. Annals of Combinatorics, 5, 2001,
381-395.
C31.
Burdik C., King R.C. and Welsh T.A. The explicit construction of
irreducible representations of the quantum algegra U_q(sl(n)).
In New Developments in Fundamental Interaction Theories,
37th Karpacz Winter School in Theoretical Phyics, Karpacz, Poland.
AIP Conference Proceedings 589, 158-169, New York, USA, American Institute of
Physics, 2001
C32. King R.C., Tollu C. and
Toumazet F., Stretched
Littlewood-Richardson coefficients and Kostka coefficients. In Symmetry in Physics. In
Memory of Robert T Sharp. Eds. P Winternitz, J Harnad, C S Lam and J Patera, CRM Proceedings
and Lecture Notes, 34, 99-112, 2004.
C33. King
R.C., Palev T.D., Stoilova N.I. and Van der Jeugt J., On
the n-particle Wigner quantum oscillator: non-commutative coordinates and
particle localisation. In Lie Theory
and its Applications in Physics V,
Proceedings of the Fifth International Workshop, Varna, Bulgaria
16-22 June 3003. Eds: H-D Doebner and V Dobrev, Singapore, World Scientific
Publishing 2004, 327-341.
C34. King
R.C., Palev T.D., Stoilova N.I. and Van der Jeugt J., The n-particle Wigner quantum oscillator:
non-commutative coordinates and physical properties,
In Proceedings of the 25th ICGTMP,
Cocoyoc, Mexico, 2005. Eds. G.S. Pogosyan, L.G. Vincent
and K.B. Wolf. Institute of Physics Conference Series 185, Bristol,
IoP Publishing, 2005, 545-550
C35. Fauser
B., Jarvis P.D. and King R.C., A Hopf
algebraic approach to the theory of group branchings, In Symmetry,
Spectroscopy and SCHUR, Proceedings of Prof B.G, Wybourne Commemorative
Meeting, Torun. Eds: R.C. King, M. Bylicki and J. Karwowski, Nicolaus Copernicus Univ
Press, Torun, (2006), 75-86
C36. King R.C., Brian Wybourne and Schur functions, In Symmetry, Spectroscopy and SCHUR,
Proceedings of Prof B.G, Wybourne Commemorative Meeting, Torun.
Eds: R.C. King, M. Bylicki and J.
Karwowski, Nicolaus Copernicus Univ Press, Torun (2006), 163-171
C37. Welsh
T.A., Jarvis P.D. and King R.C., Invariants
of mixed qubit systems, In Symmetry,
Spectroscopy and SCHUR, Proceedings of Prof B.G, Wybourne Commemorative
Meeting, Torun. Eds: R.C. King, M.
Bylicki and J. Karwowski, Nicolaus Copernicus Univ Press, Torun, (2006),
315-323.
C38.
King R.C. and Welsh T.A., Qubits
and invariant theory, J Physics: Conference Series, “Symmetry and
Structural Properties of Condensed Matter (SSPCM 2005)”, 30 (2006), 1-8.
C39. King
R.C. and Welsh T.A., Mixed two-qubit system and invariant theory, In Quantum Theory and Symmetries IV, Vol
2. Ed. V.K. Dobrev, Heron Press, Sofia, 2006,
pp671-682.
C40. King R.C., Tollu C. and
Toumazet F., The hive model and the factorisation of Kostka coefficients,
Seminaire Lotharingien Comb. 54A (2006) B54Ah.
C41. King R.C., Tollu C. and Toumazet F., The
hive model and the polynomial nature of stretched Littlewood-Richardson
coefficients,
Seminaire Lotharingien Comb. 54A (2006) B54Ad.
C42. King R.C., Fauser, B. and Jarvis, P.D., Hopf
algebras and characters of classical groups, in “Symmetry and Structural
Properties of Condensed Matter, 5–12
September 2007, Myczkowce, Poland”, Eds: T Lulek, A Wal and B Lulek, J
Phys: Conf Ser. 104 (2008) 012030
5 Conference
Contributions - Other
O1. King R.C. Departmental review: coping with assessment
fatigue. In Proceedings of
Departmental Review in Higher Education, Eds: Aylett, R.P.T. and Gregory,
K.J. Goldsmiths College, London, 1996, 75-82.
6 Departmental
Working Papers
U1. King R.C., Lanou R.E. and Tuan S.F. Low energy K-nucleon
interactions II, Internal Report 101, Physics Dept, Brown University, USA,
1961.
U2. King R.C. Eigenvalues of generalised Casimir operators of
semisimple Lie groups, Preprint 18, Maths Dept, University of Southampton,
England, 1978.
U3. Cummins C.J. and King R.C. The Higgs potential of the
75 of SU(5) revisited: non‑maximal and
disconnected symmetry breaking, Preprint, Maths Dept, University of
Southampton, England, 1982.
U4. Cummins C.J. and King R.C. Some
noteworthy S‑function identities, Preprint Centre des Recherche Mathematiques,
Universite de Montreal, Canada, 1987.
11 Journal Papers - Academic Journals
1. King R.C., Lanou R.E. and Tuan S.F. Low
energy 
interactions, Phys
Rev Lett, 6, 1961, 500‑504.
2. Franklin J., King R.C. and Tuan S.F.
Possible theoretical interpretations of the excited hyperons, Phys Rev,
124, 1961, 1995‑1999.
3. King R.C. Production of cascade
particles, Nuovo Cimento, 30, 1963, 1220‑1244.
4. King R.C. Production and decay of
decuplet baryon resonances and broken U(6,6) symmetry,
Nuovo Cimento, 50, 1967, 719‑740.
5. Caudrey P.J., Ketley I.J. and King R.C.
Covariant arbitrary‑spin wave functions and helicity couplings, Nucl
Phys, B6, 1968, 671‑686.
6. Abramsky Y.J. and King R.C. Missing SU(3) multiplets and SU(6,6) selection rules, Phys Rev
Lett 20; 21, 1968, 506E, 1408‑1410.
7. Abramsky Y.J. and King R.C. Formation
and decay of negative parity baryon resonances in a broken U(6,6)
model, Nuovo Cimento A67, 1970, 153‑216.
8. King R.C.
Generalised Young tableaux and the general linear
group, J Math Phys 11, 1970, 280‑294.
9. King R.C.
The dimensions of irreducible representations of
linear groups, Can J Math 22. 1970, 436‑448.
10. King R.C.
The dimensions of irreducible tensor representations
of the orthogonal and symplectic groups, Can J Math 23, 1971, 176‑188.
11. King R.C.
Modification rules and the products of irreducible
representations of the unitary, orthogonal and symplectic groups, J Math
Phys 12, 1971, 1588‑1598.
12. King R.C. and Plunkett S.P.O. The evaluation of branching rules for linear
groups using mappings between weight spaces, J de
Physique 33, 1972, 145‑153.
13. Abramsky Y.J., Jahn H.A. and King R.C. Frobenius
symbols and the groups Ss GL(n), O(n) and Sp(n), Can J Math
25, 1973, 941‑959.
14. Butler P.H. and King R.C. Branching rules for U(N)U(M)
and the evaluation of outer plethysms, J Math Phys 14, 1973, 741‑745.
15. Butler P.H. and King R.C. The symmetric group: characters, products and
plethysms, J Math Phys 14, 1973, 1176‑1183.
16. King R.C.
Branching rules for GL(N) 
1 and the evaluation of
inner plethysms, J Math Phys 15, 1974, 258‑267.
17. Butler P.H. and King R.C. Symmetrised Kronecker
products and group representations, Can J Math 6, 1974, 328‑339.
18. King R.C.
Generalised Vandermonde determinants and Schur
functions, Proc Amer Math Soc 48, 1975, 53‑56.
19. King R.C.
Branching rules for classical Lie groups using tensor
and spinor methods, J Phys A8, 1975, 429‑449.
20. King R.C. and Plunkett S.P.O. The evaluation of weight
multiplicities using characters and S‑functions, J Phys A8, 1976,
863-887.
21. King R.C. and Al-Qubanchi A.H.A. The branching rule for the restriction from SO(7) to G2, J Phys A11, 1978, 1-7.
22. King R.C. and Al‑Qubanchi A.H.A. The evaluation of weight multiplicities of G2, J Phys
A11, 1978, 1491‑1499.
23. El‑Samra N. and King R.C. Reduced determinantal forms
for characters of the classical Lie groups, J Phys A12, 1979, 2305‑2315.
24. El‑Samra N. and King R.C. Dimensions of irreducible
representations of the classical Lie groups, J Phys A12, 1979, 2317‑2328.
25. Englefield M.J. and King R.C. Symmetric power sum expansion of the eigenvalues of generalised
Casimir operators of semi‑simple Lie groups, J Phys A13, 1980,
2297‑2317.
26. King R.C.
Unitary group subjoinings, J Phys A13, 1980,
3563‑3583.
27. El‑Sharkaway N.G., Jahn H.A. and King
R.C. New integral bases for
symmetric functions, C R Math Rep Acad Sci Canada 2, 1980, 243‑246.
28. King R.C. and Al‑Qubanchi A.H.A. Natural labelling schemes
for simple roots and irreducible representations of exceptional Lie algebras, J
Phys A14, 1981, 15‑49.
29. King R.C. and Al‑Qubanchi A.H.A. The Weyl groups and weight
multiplicities of the exceptional Lie groups, J Phys A14, 1981, 51‑75.
30. King R.C.
Kronecker products of representations of exceptional Lie groups, J Phys
A14, 1981, 77-83.
31. El‑Sharkaway N.G., Jahn H.A. and King
R.C. Regular
products of the single‑hook characters of the unitary group, J Phys
A14, 1981, 1557‑1566.
32. Bowler K.C., Corvi P.J., Hey A.J.G., Jarvis
P.D. and King R.C. The role of Sp(12,R) in the harmonic oscillator quark model, Phys Rev
D24, 1981, 197‑215.
33. King
R.C. Fundamental fermion
representations in generalisations of the SU(5) grand
unified gauge theory, Nucl Phys B185, 1981, 133‑156.
34. King R.C., Luan Dehuai and Wybourne B.G. Symmetrised powers of rotation group
representations, J Phys A14, 1981, 2509‑2538.
35. King R.C.
The character generator of Sp(2k), C R Math
Rep Acad Sci Canada 3, 1981, 149‑153.
36. King R.C. and Wybourne B.G. Some noteworthy spin
plethysms, J Phys A15, 1982, 1137‑1142.
37. King
R.C., Patera J. and Sharp R.T. On
finite and continuous little groups of representations of semisimple Lie groups, J Phys A15, 1982, 1143‑1158.
38. King R.C. and El‑Sharkaway N.G.I. The character generators of SO(2k) and SO(2k+1), C R Math Rep Acad Sci Canada 4,
1982, 299‑304.
39. Black G.R.E., King R.C. and Wybourne B.G. Kronecker products for
compact semisimple Lie groups, J Phys A16, 1983, 1555‑1589.
40. King R.C. and El‑Sharkaway N.G.I. Standard Young tableaux and
weight multiplicities of the classical Lie groups, J Phys A16, 1983,
3153‑3178.
41. King R.C. and El‑Sharkaway N.G.I. Standard Young tableaux and
character generators of the classical Lie groups, J Phys A17, 1984, 19‑45.
42. Cummins C.J. and King R.C. Symmetry breaking patterns for third‑rank
totally antisymmetric tensor representations of unitary groups, J Phys
A17, 1984, L627‑633
43. King R.C.
Young tableaux, Schur functions and SU(2)
plethysms, J Phys A18, 1985, 2429‑2440.
44. King R.C. and Wybourne B.G. Holomorphic discrete series and harmonic
unitary irreducible
representations of non‑compact Lie groups: Sp(2n,R), U(p,q)
and SO(2n), J Phys A18, 1985, 3113‑3139.
45. Cummins C.J. and King R.C. Absolute minima of the Higgs potential for
the 75 of SU(5), J Phys A19, 1986, 161‑181.
46. Barnes K.J., King R.C.and Surridge M. Dimensional reduction,
spontaneous symmetry breaking and the absence of chiral fermions, Nucl Phys
B281, 1987, 253‑268.
47. Cummins C.J. and King R.C. Young diagrams, supercharacters of OSp(M/N) and modification rules, J Phys A20, 1987,
3103‑3120.
48. Cummins C.J. and King R.C. Composite Young diagrams, supercharacters of U(M/N) and modification rules, J Phys A20, 1987, 3121‑3133.
49. Hughes J.W.B. and King R.C. A conjectured
character formula for atypical irreducible modules of the Lie superalgebra sl(m/n), J. Phys., A20, 1987, L1047‑L1052.
50 Rao K.S., Rajeswari V. and King R.C.
Solutions of Diophantine equations and degree-one polynomial zeros of Racah
coefficients, J. Phys., A21, 1988, 1959‑1970.
51 Farmer R.J., King R.C. and Wybourne B.G.
Spectrum-generating functions for strings and superstrings, J. Phys.,
A21, 1988, 3979‑4007.
52 King R.C., Wybourne B.G. and Yang M.
Slinkies and the S-function content of certain generating functions, J.
Phys., A22, 1989, 4519‑4535.
53 Van der Jeugt J., Hughes J.W.B., King R.C. and
Thierry-Mieg J. A
character formula for singly atypical modules of the Lie superalgebra sl(m/n), Communications
in Algebra, 18, 1990, 3453-3480.
54 Van der Jeugt J., Hughes J.W.B., King R.C. and
Thierry-Mieg J. Character formulas for irreducible modules of the Lie
superalgebras sl(m/n), J. Math. Phys., 31,
1990, 2278-2304.
55 King R.C. and Wybourne B.G. Characters of
Hecke Algebras Hn(q)
of type An-1, J. Phys.,
A23, 1990, L1193-L1197.
56 King R.C. and Wybourne B.G.
Representations and traces of the Hecke algebras Hn(q)
of type An-1, J. Math. Phys., 33, 1992, 4-14.
57 Hughes J.W.B., King R.C. and Van der Jeugt J.
On the composition factors of Kac-modules for the Lie superalgebras sl(m/n), J. Math. Phys. 33, 1992, 470-491.
58 King R.C., Fulling S.A., Wybourne B.G. and
Cummins C.J. Normal forms for tensor polynomials: I. The
Riemann tensor, Classical and Quantum Gravity 9, 1992, 1151-1197.
59 Cummins C.J. and King R.C. Characters of An-1
Hecke algebras at roots of unity, J.Phys., A25,
1992, L789-L797.
60 King R.C. and Welsh T.A. Construction of
graded covariant GL(m/n)-modules using tableux, Journal
of Algebraic Combinatorics, 1, 1992, 151-170.
61 King R.C. and Welsh T.A. Construction of
orthogonal group modules using tableaux, Linear and Multilinear Algebra,
33, 1993, 251-283.
62 King R.C. and Welsh T.A. Construction of GL(n)-modules using composite tableaux, Linear and
Multilinear Algebra, 34, 1993, 99-122.
63 Cummins C.J. and King R.C. Frobenius
formula for the characters of Hecke algebras Hn(q) at roots of
unity, Communications in Algebra, 21, 1993, 4397-4423.
64 Cummins C.J. and King R.C. An algorithm
for calculating characters of Hecke algebras Hn(q)
of type An-1 when q is a root of unity, Communications in Algebra,
21, 1993, 4425-4437.
65 Hussin A., King R.C., Leng X. and Patera J.
Graded contractions of the affine Lie algebra A1(1), its
representations and tensor products, and an application to the branching rule A1(1)
A1(1), J Phys, A27, 1994, 4125-4152.
66 Cummins C.J. and King R.C. WZW fusion
rules for the classical Lie algebras, Canadian Journal of Physics, 72,
1994, 342-344.
67 King R.C. and Wybourne B.G. The place of
the adjoint representation in the Kronecker square of irreducible
representations of simple Lie groups, J Phys A, 29, 1996, 5059-5077.
68 King R.C. and Wybourne B.G. Products
and symmetrized powers of irrrreducible representations of Sp(2n,R)
and their associates, J Phys A,
31, 1998, 6669-6689.
69 King R.C., Toumazet F. and Wybourne B.G.
Products and symmetrized powers of irreducible representations of SO*(2n), J
Phys A, 31, 1998, 6691-6705.
70 King R.C., Toumazet F. and Wybourne B.G.
A finite subgroup of the exceptional Lie group G2, J Phys A, 32,
1999, 8527-8537
71 King R.C. and Wybourne B.G. Analogies
between finite-dimensional irreducible representations of SO(2n)
and infinite-dimensional irreducible representations of Sp(2n,R) Part I:
Characters and products, J Math Phys, 41, 2000, 5002-5019.
72 Yucai Su, Hughes J.W.B. and King R.C.
Primitive vectors of Kac-modules of the Lie superalgebras sl(m/n), J Math Phys, 41, 2000, 5064-5087.
73 King R.C. and Wybourne B.G. Analogies
between finite-dimensional irreducible representations of SO(2n)
and infinite-dimensional irreducible representations of Sp(2n,R) Part II:
Plethysms, J Math Phys, 41, 2000, 5656-5690
74 King R.C. and Wybourne B.G. Multiplicity free tensor products of
irreducible representations of the exceptional Lie groups, J Phys A, 35,
2002, 3489-3513.
75 Hamel A.M. and King R.C. Symplectic shifted tableaux and deformations
of Weyl's denominator formula for sp(2n). J Algebraic
Combinatorics, 16, 2002, 269-300.
76 King R.C., Palev T.D., Stoilova N.I. and
Van der Jeugt J. The non-commutative
and discrete spatial structure of a 3D Wigner quantum oscillator, J Phys A,
36, 2003, 4334-4362
77 King R.C., Palev T.D., Stoilova N.I. and
Van der Jeugt J. A non-commutative n-particle 3D Wigner quantum oscillator,
J Phys A, 36, 2003, 11999-12019
78 King R.C., Toumazet F. and Wybourne B.G. The square of the Vandermonde determinant and its
q-generalisation, J Phys A, 37,
2004, 735-767
79 Hamel A.M. and King R.C. U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration. J Algebraic Combinatorics, 21 (2005), 395-421
80 Fauser B., Jarvis P.D., King R.C. and
Wybourne B.G., New branching rules
induced by plethysm, J. Phys. A: Math. Gen. , 39 (2006),
2611-2655
81 King R.C., Stoilova N.I. and Van der Jeugt, Representations of the Lie superalgebra gl(1|n) in a Gel'fand-Zetlin Basis and Wigner Quantum Oscillators. J Phys A: Math Gen, 39 (2006), 5763-5785
82 Frey J.G., King R.C and Moss R.E., Multiphoton transitions for the harmonic oscillator, Molecular Physics, 104 (2006), 2523-2525.
83
King R.C.and Welsh T.A., Coloured generalised Young diagrams for affine
Weyl-Coxeter groups, Electronic J.
Combinatorics, 14 (2007), R13 1-64.
84 Hamel A.M. and King R.C. Bijective proofs of shifted tableau and alternating sign matrix identities. J. Algebraic Combinatorics, 25 (2007) 417-458.
85 King R.C., Welsh T.A. and Jarvis P.D., The mixed two-qubit system and the structure of its ring of local invariants, J Phys A. 40 (2007) 10083-10108.
86
King R.C., Welsh T.A. and Van Willigenburg S.J., Schur positivity of skew Schur function
differences and applications to ribbons and Schubert classes, J.
Algebraic Combinatorics, 28 (2008) 139-167.
Accepted for publication:
87
King, R.C.,
Tollu, C. and Toumazet F., Factorisation of Littlewood-Richardson
coefficients, J Combinatorial Theory A (2008) http://dx.doi.org/10.1016/j.jcta.2008.06.005
Submitted papers:
88
Fauser B.,
Jarvis P.D. and King R.C., Hopf algebra structure of the character rings of
orthogonal and symplectic groups, submitted
to J Algebra.
Unpublishd:
89 Dou, D.Q.J., Tang, R.L. and King, R.C.,
A hive model determination of multiplicity-free Schur function products and
skew Schur functions