TENSOR IDEALS AND VARIETIES FOR MODULES OF QUANTUM ELEMENTARY ABELIAN GROUPS

被引：8
|
作者：
Pevtsova, Julia [1 ]
Witherspoon, Sarah [2 ]
机构：
[1] Univ Washington, Dept Math, Seattle, WA 98195 USA
[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 09期
基金：
美国国家科学基金会;
关键词：
Support variety; rank variety; elementary abelian group; tensor product property; tensor ideal; HOPF-ALGEBRAS; FINITE-GROUP; SUBCATEGORIES; COHOMOLOGY;
D O I：
10.1090/proc/12524
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a previous paper we constructed rank and support variety theories for "quantum elementary abelian groups," that is, tensor products of copies of Taft algebras. In this paper we use both variety theories to classify the thick tensor ideals in the stable module category, and to prove a tensor product property for the support varieties.
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页码：3727 / 3741
页数：15
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