The tame infinitesimal groups of odd characteristic

被引:12
|
作者
Farnsteiner, Rolf
Skowronski, Andrzej
机构
[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany
[2] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland
关键词
infinitesimal groups; Hopf algebras; restricted Lie algebras; tame algebras; Quivers;
D O I
10.1016/j.aim.2005.07.008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given an infinitesimal group G over an algebraically closed field k of characteristic p >= 3, we provide criteria for the principal block B(0)(G) of its algebra of distributions to be of tame representation type. These are employed in conjunction with Galois coverings to determine the structure of G modulo its multiplicative center as well as the quiver and the relations of the algebra B(0)(G). (C) 2005 Elsevier Inc. All rights reserved.
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页码:229 / 274
页数:46
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