Professor Ron King

School of Mathematics
University of Southampton
University Road
Southampton
SO17 1BJ

Position: Emeritus Professor
Research group: Applied Mathematics

Home page for Professor Ron King

Publications

King, Ronald C., Tollu, Christophe and Toumazet, Frederic (2009) Factorisation of Littlewood-Richardson coefficients. Journal of Combinatorial Theory, Series A, 116, (2), 314-333. (doi:10.1016/j.jcta.2008.06.005)
King, Ronald C., Welsh, Trevor A. and van Willigenberg, Stephanie J. (2008) Schur positivity of skew Schur function differences and applications to ribbons and Schubert classes. Journal of Algebraic Combinatorics, 28, 139-167. (doi:10.1007/s10801-007-0113-0)
King, R.C., Welsh, T.A. and Jarvis, P.D. (2007) The mixed two-qubit system and the structure of its ring of local invariants. Journal of Physics A: Mathematical and Theoretical, 40, (33), 10083-10108. (doi:10.1088/1751-8113/40/33/011)
Hamel, A.M and King, R.C. (2007) Bijective proofs of shifted tableau and alternating sign matrix identities. Journal of Algebraic Combinatorics, 25, (4), 417-458. (doi:10.1007/s10801-006-0044-1)
King, R.C. and Welsh, T.A. (2007) Coloured generalised Young diagrams for affine Weyl-Coxeter groups. Electronic Journal of Combinatorics, 14, (1), 1-64. (R13)
Frey, J.G., King, R.C. and Moss, R.E. (2006) Multiphoton transitions for the harmonic oscillator. Molecular Physics, 104, (15), 2523-2525. (doi:10.1080/00268970600798038)
King, R.C. (2006) Brian Wybourne and Schur functions. In, King, R.C., Bylicki, M. and Karwowski, J. (eds.) Symmetry, Spectroscopy and SCHUR, Proceedings of Prof B.G, Wybourne Commemorative Meeting, Torun. Torun, Poland, Nicolaus Copernicus University Press, 163-171.
King, R.C., Bylicki, M. and Karwowski, J. (eds.) (2006) Symmetry, Spectroscopy and SCHUR: Proceedings of the Professor Brian G. Wybourne Commemorative Meeting, Toruń, Poland, Toruń, Poland, Nicolaus Copernicus University Press, 382pp.
Fauser, B., Jarvis, P.D. and King, R.C. (2006) A Hopf algebraic appoach to the theory of group branchings. In, King, R.C., Bylicki, M. and Karwowski, J. (eds.) Symmetry, Spectroscopy and SCHUR, Proceedings of Prof B.G, Wybourne Commemorative Meeting, Toruń. Toruń, Poland, Nicolaus Copernicus University Press, 75-86.
Fauser, B., Jarvis, P.D., King, R.C. and Wybourne, B.G. (2006) New branching rules induced by plethysm. Journal of Physics A: Mathematical and General, 39, (11), 2611-2655. (doi:10.1088/0305-4470/39/11/006)
King, R.C., Stoilova, N.I. and Van der Jeugt, J. (2006) Representations of the Lie superalgebra gl(1|n) in a Gel'fand-Zetlin basis and Wigner quantum oscillators. Journal of Physics A: Mathematical and General, 39, 5763-5785. (doi:10.1088/0305-4470/39/20/010)
King, R.C. and Welsh, T.A. (2006) Qubits and invariant theory. Journal of Physics: Conference Series, 30, 1-8. (doi:10.1088/1742-6596/30/1/001)
Welsh, T.A., Jarvis, P.D. and King, R.C. (2006) Invariants of mixed qubit systems. In, King, R.C., Bylicki, M. and Karwowski, J. (eds.) Symmetry, Spectroscopy and SCHUR, Proceedings of Prof B.G, Wybourne Commemorative Meeting, Torun. Torun, Poland, Nicolaus Copernicus University Press, 315-323.
Hamel, A.M. and King, R.C. (2005) U-turn alternating sign matrices, symplectic shifted tableaux and their weighted enumeration. Journal of Algebraic Combinatorics, 21, (4), 395-421. (doi:10.1007/s10801-005-3019-8)
King, R.C., Palev, T., Stoilova, N.I. and Van der Jeugt, J. (2005) The n-particle Wigner quantum oscillator: non-commutative coordinates and physical properties. In, Pogosyan, G.S., Vincent, G. and Wolf, K.B. (eds.) Proceedings of the 25th ICGTMP. Bristol, UK, Institute of Physics, 545-550. (Institute of Physics Conference Series).
King, R.C., Tollu, C. and Toumazet, F. (2004) Stretched Littlewood-Richardson coefficients and Kostka coefficients. In, Winternitz, P., Harnard, J., Lam, C.S. and Patera, J. (eds.) Symmetry in Physics: In Memory of Robert T. Sharp. Providence, USA, AMS / OUP, 99-112. (CRM Proceedings & Lecture Notes 34).
King, R.C., Toumazet, F. and Wybourne, B.G. (2004) The square of the Vandermonde determinant and its q-generalisation. Journal of Physics A: Mathematical and General, 37, 735-767. (doi:10.1088/0305-4470/37/3/015)
Van der Jeugt, J., King, R.C., Stoilova, N.I. and Palev, T.D. (2004) On the n-particle Wigner quantum oscillator: non-commutative coordinates and particle localisation. In, Doebner, H.-D. and Dobrev, V. (eds.) Lie Theory and its Applications in Physics V: Proceedings of the Fifth International Workshop, Varna, Bulgaria 16-22 June 2003. Singapore, World Scientific Publishing, 4337-4362.
King, R.C., Palev, T.D., Stoilova, N.I. and Van der Jeugt, J. (2003) A non-commutative n-particle 3D Wigner quantum oscillator. Journal of Physics A: Mathematical and General, 36, 11999-12019. (doi:10.1088/0305-4470/36/48/007)
King, R.C., Palev, T.D., Stoilova, N.I. and Van der Jeugt, J. (2003) The non-commutative and discrete spatial structure of a 3D Wigner quantum oscillator. Journal of Physics A: Mathematical and General, 36, (15), 4337-4362. (doi:10.1088/0305-4470/36/15/309)
Hamel, A.M. and King, R.C. (2002) Symplectic shifted tableaux and deformations of Weyl's denominator formula for sp(2n). Journal of Algebraic Combinatorics, 16, (3), 269-300. (doi:10.1023/A:1021804505786)
King, R.C. and Wybourne, B.G. (2002) Multiplicity free tensor products of irreducible representations of the exceptional Lie groups. Journal of Physics A: Mathematical and General, 35, 3489-3513. (doi:10.1088/0305-4470/35/15/310)
Burdik, C., King, R.C. and Welsh, T.A. (2001) The explicit construction of irreducible representations of the quantum algebras U_q(sl(n)). In, New Developments in Fundamental Interaction Theories: 37th Karpacz Winter School of Theoretical Physics. New York, USA, American Institute of Physics, 158-169. (AIP Conference Proceedings 589).
King, R.C. (2001) Branching rules and weight multiplicities for simple and affine Lie algebras. In, Saint-Aubin, Y. and Vinet, L. (eds.) Algebraic Methods in Physics: A Symposium for the 60th Birthdays of Jiri Patera and Pavel Winternitz. New York, USA, Springer, 121-133. (CRM Series in Mathematical Physics).
King, R.C. (2001) Weyl's denominator identity and its deformations. In, Lulek, T., Lulek, B. and Wal, A. (eds.) Symmetry and Structural Properties of Condensed Matter: Proceedings of the Sixth International School of Theoretical Physics, Myczkowce, Poland. Singapore, World Scientific, 138-151.
King, Ronald C. (2001) Progress on numerator formulae expansions for affine Kac-Moody algebras. Annals of Combinatorics, 5, (3-4), 381-395.