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A remark on irreducible representations of Lie algebras

Part of: Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  09 April 2009

JU. A. Bahturin
JU. A. Bahturin
Affiliation:
Department of Mechanics and MathematicsMoscow State University117234 Moscow, USSR
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Abstract

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In addition to the results of the paper (Bachturin (1974)) we give the precise form of the necessary and sufficient conditions ensuring that all irreducible representations of a Lie algebra were of finite bounded degree.

MSC classification

Secondary: 17B35: Universal enveloping (super)algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 27 , Issue 3 , May 1979 , pp. 332 - 336
Copyright
Copyright © Australian Mathematical Society 1979

References

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Jacobson, N. (1962), Lie algebras (John Wiley and Sons, New York).Google Scholar
Dixmier, J. (1974), Algèbres enveloppantes (Gauthier-Villars, Paris).Google Scholar
Latyšev, V. N. (1963), ‘Two remarks on PI-algebras’, Sibirsk. Mat. Ž. 4, 1120–1121.Google Scholar