## 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 $s\ell (2)$.## 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
- Received by editor(s): August 14, 2002
- Received by editor(s) in revised form: January 15, 2003
- Published electronically: April 17, 2003
- © Copyright 2003 American Mathematical Society
- 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
- MathSciNet review: 1974688