Thick subcategories of the bounded derived category of a finite group

Carlson, Jon; Iyengar, Srikanth

doi:10.1090/S0002-9947-2014-06121-7

Thick subcategories of the bounded derived category of a finite group
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by Jon F. Carlson and Srikanth B. Iyengar PDF

Trans. Amer. Math. Soc. 367 (2015), 2703-2717 Request permission

Abstract:

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 previous proofs of these results.

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