Principal indecomposable representations for restricted Lie algebras of Cartan type. (English) Zbl 0768.17009
The author obtains some properties of principal indecomposable modules for the restricted universal enveloping algebra of the restricted Lie algebras of Cartan type over algebraically closed fields of characteristic \(p>3\). These properties closely parallel those of the classical Lie algebras obtained by J. Humphreys [J. Algebra 19, 51- 79 (1971; Zbl 0219.17003)].
Reviewer: G.Brown (Boulder)
MSC:
| 17B50 | Modular Lie (super)algebras |
| 17B10 | Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) |
