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On idempotents in reduced enveloping algebras
Author(s):
George
B.
Seligman
Journal:
Trans. Amer. Math. Soc.
355
(2003),
3291-3300.
MSC (2000):
Primary 17B35, 16S30
Posted:
April 17, 2003
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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  .
References:
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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:
10.1090/S0002-9947-03-03314-2
PII:
S 0002-9947(03)03314-2
Received by editor(s):
August 14, 2002
Received by editor(s) in revised form:
January 15, 2003
Posted:
April 17, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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