On idempotents in reduced enveloping algebras

Author:
George B. Seligman

Journal:
Trans. Amer. Math. Soc. **355** (2003), 3291-3300

MSC (2000):
Primary 17B35, 16S30

DOI:
https://doi.org/10.1090/S0002-9947-03-03314-2

Published electronically:
April 17, 2003

MathSciNet review:
1974688

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Abstract | References | Similar Articles | Additional Information

Abstract: Explicit constructions are given for idempotents that generate all projective indecomposable modules for certain finite-dimensional quotients of the universal enveloping algebra of the Lie algebra in odd prime characteristic. The program is put in a general context, although constructions are only carried through in the case of .

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Additional Information

**George B. Seligman**

Affiliation:
Department of Mathematics, Yale University, P.O. Box 208283, New Haven, Connecticut 06520-8283

Email:
selig@math.yale.edu

DOI:
https://doi.org/10.1090/S0002-9947-03-03314-2

Received by editor(s):
August 14, 2002

Received by editor(s) in revised form:
January 15, 2003

Published electronically:
April 17, 2003

Article copyright:
© Copyright 2003
American Mathematical Society