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Some comments on
Weyl’s complete reducibility theorem
Jonathan Rogawski and V. S. Varadarajan |
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Vol. 260 (2012), No. 2, 687–694
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Abstract |
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In this note we discuss a purely algebraic proof of Weyl’s theorem that all finite-dimensional representations of a complex semisimple Lie algebra are completely reducible. We give a simple and direct proof which is elementary in the sense that it does not use cohomology, and which is a synthesis of the older proofs of Casimir – van der Waerden and of Brauer. |
Keywords
Weyl’s reducibility theorem
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Mathematical Subject Classification 2010
Primary: 17B20, 22E46
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Milestones
Received: 16 July 2012
Accepted: 22 July 2012
Published: 30 November 2012
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Authors |
| Jonathan Rogawski | |
| Department of Mathematics University of California, Los Angeles Los Angeles, CA 90095 United States |
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| V. S. Varadarajan | |
| Department of Mathematics University of California, Los Angeles Los Angeles, CA 90095 United States |
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