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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Fast recursion formula for weight multiplicities


Authors: R. V. Moody and J. Patera
Journal: Bull. Amer. Math. Soc. 7 (1982), 237-242
MSC (1980): Primary 17B10; Secondary 22E46, 17B20
MathSciNet review: 656202
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  • 2. R. C. King and A. H. A. Al-Qubanchi, The Weyl groups and weight multiplicities of the exceptional Lie groups, J. Phys. A 14 (1981), no. 1, 51–75. MR 598367 (82g:22016)
  • 3. Hans Freudenthal and H. de Vries, Linear Lie groups, Pure and Applied Mathematics, Vol. 35, Academic Press, New York-London, 1969. MR 0260926 (41 #5546)
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  • 5. V. K. Agrawala and J. G. Belinfante, Weight diagrams for Lie group representations: A computer implementation of Freudenthal's algorithm in ALGOL and FORTRAN, BIT 9 (1969), 301-304.
  • 6. W. McKay, J. Patera, and D. Sankoff, The computation of branching rules for representations of semisimple Lie algebras, Computers in nonassociative rings and algebras (Special session, 82nd Annual Meeting Amer. Math. Soc., San Antonio, Tex., 1976) Academic Press, New York, 1977, pp. 235–277. MR 0457505 (56 #15710)
  • 7. M. Bremner, R. Funk and R. Moody, Implementation of the fast recursion formula in PASCAL.
  • 8. N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles, No. 1337, Hermann, Paris, 1968 (French). MR 0240238 (39 #1590)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1982-15021-2
PII: S 0273-0979(1982)15021-2