GROUP-GRADED ALGEBRAS, EXTENSIONS OF INFINITESIMAL GROUPS, AND APPLICATIONS

被引：11

作者：

Farnsteiner, R. ^{[1
]}

机构：

[1] Univ Bielefeld, Dept Math, D-33501 Bielefeld, Germany

来源：

TRANSFORMATION GROUPS | 2009年 / 14卷 / 01期

关键词：

RESTRICTED LIE-ALGEBRAS; REPRESENTATION TYPE; GALOIS ACTIONS; MODULES; BLOCKS; QUIVERS; RINGS;

D O I：

10.1007/s00031-009-9049-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using results on algebras that are graded by p-groups, we study representations of infinitesimal groups G that possess a normal subgroup N (sic) G with a diagonalizable factor group G/N. When combined with rank varieties, Auslander-Reiten theory and Premet's work on SL(2)(1)-modules, these techniques lead to the determination of the indecomposable modules of the infinitesimal groups of domestic representation type.

引用

页码：127 / 162

页数：36

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