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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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Fast recursion formula for weight multiplicities
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by R. V. Moody and J. Patera PDF
Bull. Amer. Math. Soc. 7 (1982), 237-242
  • Hans Freudenthal, Zur Berechnung der Charaktere der halbeinfachen Lieschen Gruppen. I, II, Nederl. Akad. Wetensch. Proc. Ser. A. 57 = Indag. Math. 16 (1954), 369–376, 487–491 (German). MR 0067123, DOI 10.1016/S1385-7258(54)50046-6
  • 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, DOI 10.1088/0305-4470/14/1/007
  • Hans Freudenthal and H. de Vries, Linear Lie groups, Pure and Applied Mathematics, Vol. 35, Academic Press, New York-London, 1969. MR 0260926
  • 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.
  • 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
  • 7. M. Bremner, R. Funk and R. Moody, Implementation of the fast recursion formula in PASCAL.
  • 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 [Current Scientific and Industrial Topics], No. 1337, Hermann, Paris, 1968 (French). MR 0240238
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 7 (1982), 237-242
  • MSC (1980): Primary 17B10; Secondary 22E46, 17B20
  • DOI:
  • MathSciNet review: 656202