On idempotents in reduced enveloping algebras
Author:
George B. Seligman
Journal:
Trans. Amer. Math. Soc. 355 (2003), 32913300
MSC (2000):
Primary 17B35, 16S30
Published electronically:
April 17, 2003
MathSciNet review:
1974688
Fulltext PDF Free Access
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Abstract: Explicit constructions are given for idempotents that generate all projective indecomposable modules for certain finitedimensional 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 065208283
Email:
selig@math.yale.edu
DOI:
http://dx.doi.org/10.1090/S0002994703033142
PII:
S 00029947(03)033142
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
