Weight spaces and irreducible representations of simple Lie algebras.
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- by F. W. Lemire
- Proc. Amer. Math. Soc. 22 (1969), 192-197
- DOI: https://doi.org/10.1090/S0002-9939-1969-0243001-1
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References
- 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
- 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
- F. W. Lemire, Irreducible representations of a simple Lie algebra admitting a one-dimensional weight space, Proc. Amer. Math. Soc. 19 (1968), 1161–1164. MR 231872, DOI 10.1090/S0002-9939-1968-0231872-3
- F. W. Lemire, Note on weight spaces of irreducible linear representations, Canad. Math. Bull. 11 (1968), 399–403. MR 235073, DOI 10.4153/CMB-1968-045-2
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 192-197
- MSC: Primary 22.80; Secondary 17.00
- DOI: https://doi.org/10.1090/S0002-9939-1969-0243001-1
- MathSciNet review: 0243001