Irreducible representations of a simple Lie algebra admitting a one-dimensional weight space
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- by F. W. Lemire
- Proc. Amer. Math. Soc. 19 (1968), 1161-1164
- DOI: https://doi.org/10.1090/S0002-9939-1968-0231872-3
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References
- N. Bourbaki, Éléments de mathématique. XXVI. Groupes et algèbres de Lie. Chapitre 1: Algèbres de Lie, Actualités Sci. Indust., No. 1285, Hermann, Paris, 1960 (French). MR 0132805 I. Z. Bouwer, Standard representations of simple Lie algebras, Thesis, Univ. of Toronto, Toronto, 1964.
- I. Z. Bouwer, Standard representations of simple Lie algebras, Canadian J. Math. 20 (1968), 344–361. MR 224746, DOI 10.4153/CJM-1968-031-5
- 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
- Harish-Chandra, On some applications of the universal enveloping algebra of a semisimple Lie algebra, Trans. Amer. Math. Soc. 70 (1951), 28–96. MR 44515, DOI 10.1090/S0002-9947-1951-0044515-0
- Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0143793 Séminaire “Sophus Lie,” Ecole Normale Supérieure, 1954/1955: Théorie des algèbres de Lie. Topologie des groupes de Lie, Secrétariat mathématique, Paris, 1955.
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1161-1164
- MSC: Primary 17.30; Secondary 22.00
- DOI: https://doi.org/10.1090/S0002-9939-1968-0231872-3
- MathSciNet review: 0231872