On the Block Structure of Supersolvable Restriscted Lie Algebras

Document Type

Article

Publication Title

Journal of Algebra

Abstract

Block theory is an important tool in the modular representation theory of finite groups (cf.[18]). Apart from a few papers (e.g. [17, 13, 16]) dealing with restricted simple Lie algebras there apparently has been no effort to do the same for other classes of restricted Lie algebras despite a good knowledge of the simple modules (cf. e.g. [21] for the solvable case). The aim of this paper is to develop the block theory for reduced universal enveloping algebras of a finite dimensional supersolvable restricted Lie algebra as far as possible in close analogy to modular group algebras.

First Page

396

Last Page

419

DOI

https://doi.org/10.1006/jabr.1996.0227

Publication Date

7-1996

Department

Mathematics and Statistics

Comments

A link to the full-text article can be found on the publisher's website - Journal of Algebra, through Science Direct.

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