Mathematical Research Letters

Volume 1, Issue 3, May 1994 pp. 297-307.

Invariant algebras and completely reducible representations

Authors: H. Kraft and L. W. Small
Author institution: Universität Basel, and University of California, San Diego

Summary: We give a general construction of affine noetherian algebras with the property that every finite dimensional representation is completely reducible. Starting from enveloping algebras of semi simple Lie algebras in characteristic zero we obtain explicit examples and describe some of their properties.

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