Hamel, A. M.; King, R. C. Bijective proof of a symplectic dual pair identity. (English) Zbl 1290.05154 SIAM J. Discrete Math. 25, No. 2, 539-560 (2011). MSC: 05E05 05E10 20C30 17B67 17B10 PDFBibTeX XMLCite \textit{A. M. Hamel} and \textit{R. C. King}, SIAM J. Discrete Math. 25, No. 2, 539--560 (2011; Zbl 1290.05154) Full Text: DOI
King, R. C.; Stoilova, N. I.; Van der Jeugt, J. Representations of the Lie superalgebra \(\mathfrak{gl}(1|n)\) in a Gel’fand-Zetlin basis and Wigner quantum oscillators. (English) Zbl 1099.17005 J. Phys. A, Math. Gen. 39, No. 20, 5763-5785 (2006). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 17B10 81Q60 81R05 17B15 PDFBibTeX XMLCite \textit{R. C. King} et al., J. Phys. A, Math. Gen. 39, No. 20, 5763--5785 (2006; Zbl 1099.17005) Full Text: DOI arXiv
Hamel, A. M.; King, R. C. Symplectic shifted tableaux and deformations of Weyl’s denominator formula for \(\text{sp}(2n)\). (English) Zbl 1037.05048 J. Algebr. Comb. 16, No. 3, 269-300 (2002). Reviewer: Markus Fulmek (Wien) MSC: 05E10 17B10 05E15 PDFBibTeX XMLCite \textit{A. M. Hamel} and \textit{R. C. King}, J. Algebr. Comb. 16, No. 3, 269--300 (2002; Zbl 1037.05048) Full Text: DOI
King, R. C.; Wybourne, B. G. Multiplicity-free tensor products of irreducible representations of the exceptional Lie groups. (English) Zbl 1003.22004 J. Phys. A, Math. Gen. 35, No. 15, 3489-3513 (2002). Reviewer: Anatoli Grigori Baskakov (Voronezh) MSC: 22E46 20G05 81R05 17B10 PDFBibTeX XMLCite \textit{R. C. King} and \textit{B. G. Wybourne}, J. Phys. A, Math. Gen. 35, No. 15, 3489--3513 (2002; Zbl 1003.22004) Full Text: DOI Link
King, Ronald C. Branching rules and weight multiplicities for simple and affine Lie algebras. (English) Zbl 0985.17004 Saint-Aubin, Yvan (ed.) et al., Algebraic methods in physics. A symposium for the 60th birthdays of Jiří Patera and Pavel Winternitz. Centre de Recherches Mathématiques (CRM), Montréal, Canada, January 1997. New York, NY: Springer. CRM Series in Mathematical Physics. 121-133 (2001). Reviewer: Alexander Rudy (Minsk) MSC: 17B10 17B67 PDFBibTeX XMLCite \textit{R. C. King}, in: Algebraic methods in physics. A symposium for the 60th birthdays of Jiří Patera and Pavel Winternitz. Centre de Recherches Mathématiques (CRM), Montréal, Canada, January 1997. New York, NY: Springer. 121--133 (2001; Zbl 0985.17004)
Su, Yucai; Hughes, J. W. B.; King, R. C. Primitive vectors of Kac-modules of the Lie superalgebras \(\text{sl}(m/n)\). (English) Zbl 0988.17004 J. Math. Phys. 41, No. 7, 5064-5087 (2000). Reviewer: Joris Van der Jeugt (Gent) MSC: 17B10 PDFBibTeX XMLCite \textit{Y. Su} et al., J. Math. Phys. 41, No. 7, 5064--5087 (2000; Zbl 0988.17004) Full Text: DOI arXiv
Cummins, C. J.; King, R. C. WZW fusion rules for the classical Lie algebras. (English) Zbl 1043.81683 Can. J. Phys. 72, No. 7-8, 342-344 (1994). MSC: 81T40 17B10 17B81 81R10 PDFBibTeX XMLCite \textit{C. J. Cummins} and \textit{R. C. King}, Can. J. Phys. 72, No. 7--8, 342--344 (1994; Zbl 1043.81683) Full Text: DOI
Hughes, J. W. B.; King, R. C.; Van der Jeugt, Joris On the composition factors of Kac modules for the Lie superalgebras \(sl(m/n)\). (English) Zbl 0747.17003 J. Math. Phys. 33, No. 2, 470-491 (1992). Reviewer: N.Backhouse (Liverpool) MSC: 17A70 17B70 17B10 PDFBibTeX XMLCite \textit{J. W. B. Hughes} et al., J. Math. Phys. 33, No. 2, 470--491 (1992; Zbl 0747.17003) Full Text: DOI
King, Ronald C. S-functions and characters of Lie algebras and Lie groups. (English) Zbl 0728.22012 Topics in algebra. Pt. 2: Commutative rings and algebraic groups, Pap. 31st Semester Class. Algebraic Struct., Warsaw/Poland 1988, Banach Cent. Publ. 26, Part 2, 327-344 (1990). Reviewer: J.Van der Jeugt (Gent) MSC: 22E46 17B10 05E05 05E10 PDFBibTeX XML
Van der Jeugt, Joris; Hughes, J. W. B.; King, R. C.; Thierry-Mieg, J. Character formulas for irreducible modules of the Lie superalgebras \(\mathrm{sl}(m|n)\). (English) Zbl 0725.17004 J. Math. Phys. 31, No. 9, 2278-2304 (1990). MSC: 17B10 17B20 PDFBibTeX XMLCite \textit{J. Van der Jeugt} et al., J. Math. Phys. 31, No. 9, 2278--2304 (1990; Zbl 0725.17004) Full Text: DOI
Van der Jeugt, Joris; Hughes, J. W. B.; King, R. C.; Thierry-Mieg, J. A character formula for singly atypical modules of the Lie superalgebra \(\mathrm{sl}(m| n)\). (English) Zbl 0721.17003 Commun. Algebra 18, No. 10, 3453-3480 (1990). Reviewer: Manfred Scheunert (Bonn) MSC: 17B10 17B20 PDFBibTeX XMLCite \textit{J. Van der Jeugt} et al., Commun. Algebra 18, No. 10, 3453--3480 (1990; Zbl 0721.17003) Full Text: DOI
King, Ronald C. S-functions and characters of Lie algebras and superalgebras. (English) Zbl 0713.17006 Invariant theory and tableaux, Proc. Workshop, Minneapolis/MN (USA) 1988, IMA Vol. Math. Appl. 19, 226-261 (1990). Reviewer: N.Backhouse MSC: 17B10 17A70 05E10 PDFBibTeX XML
Van der Jeugt, Joris; Hughes, J. W. B.; King, R. C.; Thierry-Mieg, J. Representations of \(\mathrm{sl}(m| n)\) and their characters. (English) Zbl 0747.17004 Lie theory, differential equations and representation theory, Proc. Annu. Semin. Can. Math. Soc., Montréal/Can. 1989, 233-252 (1990). Reviewer: Nigel B. Backhouse (Liverpool) MSC: 17B10 17B20 PDFBibTeX XMLCite \textit{J. Van der Jeugt} et al., in: Coherent states and square integrable group representations: A general setting. . 233--252 (1990; Zbl 0747.17004)
Hughes, J. W. B.; King, R. C. A conjectured character formula for atypical irreducible modules of the Lie superalgebra sl(m/n). (English) Zbl 0646.17009 J. Phys. A 20, L1047-L1052 (1987). Reviewer: M.Scheunert MSC: 17B70 17A70 17B10 PDFBibTeX XMLCite \textit{J. W. B. Hughes} and \textit{R. C. King}, J. Phys. A, Math. Gen. 20, L1047--L1052 (1987; Zbl 0646.17009) Full Text: DOI
Cummins, C. J.; King, R. C. Absolute minima of the Higgs potential for the 75 of SU(5). (English) Zbl 0593.22019 J. Phys. A 19, 161-181 (1986). MSC: 22E70 81T60 17B10 81-04 22E46 15A72 PDFBibTeX XMLCite \textit{C. J. Cummins} and \textit{R. C. King}, J. Phys. A, Math. Gen. 19, 161--181 (1986; Zbl 0593.22019) Full Text: DOI
King, Ronald C. Supersymmetric functions and the Lie supergroup U(m/n). (English) Zbl 0547.22016 Ars Comb. 16-A, 269-287 (1983). Reviewer: R.J.Plymen MSC: 22E70 22E47 17A70 17B10 PDFBibTeX XMLCite \textit{R. C. King}, Ars Comb. 16-A, 269--287 (1983; Zbl 0547.22016)
King, Ronald C. Generalised Young tableaux for Lie algebras and superalgebras. (English) Zbl 0529.17005 Group theoretical methods in physics, Proc. XIth int. Colloq., Istanbul 1982, Lect. Notes Phys. 180, 41-47 (1983). MSC: 17B10 17A70 22E60 PDFBibTeX XML
King, R. C.; Wybourne, B. G. Some noteworthy spin plethysms. (English) Zbl 0495.22014 J. Phys. A 15, 1137-1141 (1982). MSC: 22E70 81R10 22C05 PDFBibTeX XMLCite \textit{R. C. King} and \textit{B. G. Wybourne}, J. Phys. A, Math. Gen. 15, 1137--1141 (1982; Zbl 0495.22014) Full Text: DOI
King, R. C.; Qubanchi, A. H. A. The evaluation of weight multiplicities of \(G_2\). (English) Zbl 0397.22003 J. Physics A 11, 1491-1499 (1978). MSC: 22E45 PDFBibTeX XMLCite \textit{R. C. King} and \textit{A. H. A. Qubanchi}, J. Phys. A, Math. Gen. 11, 1491--1499 (1978; Zbl 0397.22003) Full Text: DOI
Kramer, P. (ed.); Rieckers, A. (ed.) [Rittenberg, V.; Ferrara, S.; Kostant, Bertram; Kerber, A.; Primas, H.; Frei, H.; Günthard, H.; Sternberg, S.; Rowe, D. J.; Rosensteel, G.; Grossmann, A.; Kramer, P.; Birman, J. L.; Emch, G. G.; Michel, L.; Dürr, H. P.; van Leeuwen, J. M. J.; O’Raifeartaigh, L.; Albeverio, S.; Høegh-Krohn, Raphael; Backhouse, N.; Hoogland, H.; Patera, J.; Winternitz, P.; Zassenhaus, Hans; van den Broec, P. M.; Jaric, M. V.; Hughes, J. W. B.; King, R. C.; Qubanchi, A. H. A.] Group theoretical methods in physics. Sixth international colloquium, Tübingen 1977. (English) Zbl 0385.20001 Lecture Notes in Physics. 79. Berlin-Heidelberg-New York: Springer- Verlag. XVIII, 546 p. DM 47.00; $ 23.50 (1978). MSC: 20-06 81-02 81-06 81Txx 81T60 81V35 81S99 81P99 81V55 81R10 81Q10 17B70 17A70 17B10 53C15 53D50 43A65 20C35 22E50 81V70 82B26 82D25 46L60 35Q99 20H15 20G05 81V10 PDFBibTeX XML