Stratifying modular representations of finite groups
Stratifying modular representations of finite groups
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DOI：
10.4007/annals.2011.174.3.6
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发表时间：
2008-10
期刊：
影响因子：
--
通讯作者：
D. Benson;S. Iyengar;H. Krause
中科院分区：
文献类型：
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作者：
D. Benson;S. Iyengar;H. Krause
我们分类的局部化子范畴的稳定的模块范畴的有限群，是封闭的张量积与简单的（或等价地说，所有）模块。一个应用是证明望远镜猜想在这种情况下。其他包括新的证明张量积定理和分类厚子类的的cross-generated模块，避免使用循环移位子群。沿着这条道路，我们建立了分次多项式环上的微分分次模和分次外代数上的微分分次模的类似分类。
We classify localising subcategories of the stable module category of a finite group that are closed under tensor product with simple (or, equivalently all) modules. One application is a proof of the telescope conjecture in this context. Others include new proofs of the tensor product theorem and of the classification of thick subcategories of the finitely generated modules which avoid the use of cyclic shifted subgroups. Along the way we establish similar classifications for differential graded modules over graded polynomial rings, and over graded exterior algebras.