Thick subcategories of the bounded derived category of a finite group

Thick subcategories of the bounded derived category of a finite group
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有限群的有界派生范畴的厚子范畴

DOI:
10.1090/s0002-9947-2014-06121-7
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发表时间:
2012
期刊:
arXiv: Representation Theory
影响因子:
--
通讯作者:
S. Iyengar
S. Iyengar
中科院分区:
--
文献类型:
--
作者:
J. Carlson;S. Iyengar

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给出了有限群模表示的有界导范畴和稳定范畴的张量理想厚子范畴的分类的一个新证明。更一般地,参数适用于产生分类的厚子范畴的有界导出范畴的阿廷完全相交环。这项工作的显着特点之一是,它不需要求助于无限的建设,不像以前的证明这些结果。
A new proof of the classification for tensor ideal thick subcategories of the bounded derived category, and the stable category, of modular representations of a finite group is obtained. The arguments apply more generally to yield a classification of thick subcategories of the bounded derived category of an artinian complete intersection ring. One of the salient features of this work is that it takes no recourse to infinite constructions, unlike the previous proofs of these results.
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