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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
DOI: https://doi.org/10.1090/S0273-0979-1982-15021-2
MathSciNet review: 656202
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  • 2. R. C. King and H. H. Al-Qubanchi, The Weyl group and weight multiplicities of the exceptional Lie groups, J. Phys. A 14 (1981), 51-75. MR 598367
  • 3. H. Freudenthal and H. deVries, Linear Lie groups, Academic Press, New York, 1969. MR 260926
  • 4. B. Kolman and J. A. Belinfante, Survey of Lie groups and Lie algebras with applications and computational methods, SIAM, Philadelphia, 1972.
  • 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 Non-Associative Rings and Algebras (R. Beck and B. Kolman, eds.), Academic Press, New York, 1977. MR 457505
  • 7. M. Bremner, R. Funk and R. Moody, Implementation of the fast recursion formula in PASCAL.
  • 8. N. Bourbaki, Groupes et algèbres de Lie, Chapitres 4-6, Hermann, Paris, 1968. MR 240238

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DOI: https://doi.org/10.1090/S0273-0979-1982-15021-2

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