Galois actions and blocks of tame infinitesimal group schemes

被引：8
|
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
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 359卷 / 12期
关键词：
D O I：
10.1090/S0002-9947-07-04124-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given an infinitesimal group G, that is defined over an algebraically closed field of characteristic p >= 3, we determine the block structure of the algebra of measures H( G) in case its principal block B(0)(G) is tame and the height of the factor group G/M(G) of G by its multiplicative center M( G) is at least two. Our results yield a complete description of the stable Auslander-Reiten quiver of H( G) along with a criterion for the domesticity of H( G).
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页码：5867 / 5898
页数：32
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