On idempotents in reduced enveloping algebras

Seligman, George

doi:10.1090/S0002-9947-03-03314-2

On idempotents in reduced enveloping algebras
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by George B. Seligman PDF

Trans. Amer. Math. Soc. 355 (2003), 3291-3300 Request permission

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 $s\ell (2)$ in odd prime characteristic. The program is put in a general context, although constructions are only carried through in the case of $s\ell (2)$.

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