REPRESENTATIONS OF BLOCKS ASSOCIATED TO INDUCED MODULES OF RESTRICTEDLIE-ALGEBRAS

Authors
Citation
R. Farnsteiner, REPRESENTATIONS OF BLOCKS ASSOCIATED TO INDUCED MODULES OF RESTRICTEDLIE-ALGEBRAS, Mathematische Nachrichten, 179, 1996, pp. 57-88
Citations number
28
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
0025584X
Volume
179
Year of publication
1996
Pages
57 - 88
Database
ISI
SICI code
0025-584X(1996)179:<57:ROBATI>2.0.ZU;2-8
Abstract
Let (L, [p]) be a finite dimensional restricted Lie algebra over an al gebraically closed field F of characteristic p greater than or equal t o 3, and chi is an element of L be a linear form. In this article we investigate the structure and representation theory of those blocks of the reduced enveloping algebra u(L, chi) that are associated to irred ucible modules of the form u(L, chi) x (u(k, x/k)) F-lambda.