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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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On some applications of the universal enveloping algebra of a semisimple Lie algebra
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by Harish-Chandra
Trans. Amer. Math. Soc. 70 (1951), 28-96
DOI: https://doi.org/10.1090/S0002-9947-1951-0044515-0
References
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  • Claude Chevalley, Sur la classification des algèbres de Lie simples et de leurs représentations, C. R. Acad. Sci. Paris 227 (1948), 1136–1138 (French). MR 27270
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  • Claude Chevalley, Algebraic Lie algebras, Ann. of Math. (2) 48 (1947), 91–100. MR 19603, DOI 10.2307/1969217
  • —, Theory of Lie groups, Princeton University Press, 1946.
  • I. M. Gel′fand and M. A. Naĭmark, On the connection between the representations of a complex semi-simple Lie group and those of its maximal compact subgroups, Doklady Akad. Nauk SSSR (N.S.) 63 (1948), 225–228 (Russian). MR 0027279
  • Lars Gårding, Note on continuous representations of Lie groups, Proc. Nat. Acad. Sci. U.S.A. 33 (1947), 331–332. MR 21943, DOI 10.1073/pnas.33.11.331
  • Harish-Chandra, On representations of Lie algebras, Ann. of Math. (2) 50 (1949), 900–915. MR 30945, DOI 10.2307/1969586
  • Kenkichi Iwasawa, On some types of topological groups, Ann. of Math. (2) 50 (1949), 507–558. MR 29911, DOI 10.2307/1969548
  • F. I. Mautner, Ann. of Math. vol. 52 (1951) pp. 528-556. H. Weyl, Math. Zeit. vol. 24 (1925) pp. 328-395. —, The classical groups, Princeton University Press, 1939. E. Witt, J. Reine Angew. Math. vol. 177 (1937) pp. 152-160.
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Bibliographic Information
  • © Copyright 1951 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 70 (1951), 28-96
  • MSC: Primary 09.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1951-0044515-0
  • MathSciNet review: 0044515