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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A formula for the multiplicity of a weight
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by Bertram Kostant PDF
Trans. Amer. Math. Soc. 93 (1959), 53-73 Request permission
References
  • Raoul Bott, Homogeneous vector bundles, Ann. of Math. (2) 66 (1957), 203–248. MR 89473, DOI 10.2307/1969996
  • R. Brauer, Sur la multiplication des caractéristiques des groupes continus et semi-simples, C. R. Acad. Sci. Paris vol. 204 (1937) pp. 1784-1786. E. B. Dynkin, Maximal subgroups of the classical groups, Amer. Math. Soc. Translations ser. 2 vol. 6 (1957) pp. 245-378.
  • 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
  • I. Gelfand and M. Neumark, Über der Zusammenhang zwischen der Darstellungen einer komplexen halbeinfachen Lieschen Gruppe und ihrer maximalen kompakten Untergruppe, Dokl. Akad. Nauk SSSR vol. 63 (1948) pp. 225-228.
  • Harish-Chandra, On representations of Lie algebras, Ann. of Math. (2) 50 (1949), 900–915. MR 30945, DOI 10.2307/1969586
  • SéminaireSophus Lie,” Ecole Normale Supérieure, Paris, 1955.
  • H. Weyl, Theorie der Darstellung kontinuierlicher halb-einfacher Gruppen durch lineare Transformationen. II, Math. Z. 24 (1926), no. 1, 328–376 (German). MR 1544769, DOI 10.1007/BF01216788
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Additional Information
  • © Copyright 1959 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 93 (1959), 53-73
  • MSC: Primary 22.00; Secondary 20.00
  • DOI: https://doi.org/10.1090/S0002-9947-1959-0109192-6
  • MathSciNet review: 0109192