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Fast recursion formula for weight multiplicities
Author(s):
R. V.
Moody;
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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References |
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Additional information
References:
- 1.
- H. Freudenthal, Zur Berechnung der Charaktere der halbfachen Lieschen Gruppen. II, Koninkl. Nederl. Akademie, Proceedings Ser. A 57, No. 5 (1954), 487-491. MR 67123
- 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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17B10, 22E46, 17B20
Additional Information:
DOI:
10.1090/S0273-0979-1982-15021-2
PII:
S 0273-0979(1982)15021-2
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