Stratification for module categories of finite group schemes

Dave Benson; Srikanth B. Iyengar; Henning Krause; Julia Pevtsova

doi:10.1090/jams/887

Stratification for module categories of finite group schemes

Dave Benson, Srikanth B. Iyengar, Henning Krause, Julia Pevtsova

Mathematical Science

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

14 Downloads (Pure)

Abstract

The tensor ideal localizing subcategories of the stable module category of all, including infinite dimensional, representations of a finite group scheme over a field of positive characteristic are classified. Various applications concerning the structure of the stable module category and the behavior of support and cosupport under restriction and induction are presented.

Original language	English
Pages (from-to)	265-302
Number of pages	38
Journal	Journal of the American Mathematical Society
Volume	31
Issue number	1
Early online date	15 Aug 2017
DOIs	https://doi.org/10.1090/jams/887
Publication status	Published - 31 Jan 2018

Bibliographical note

The second author was partly supported by NSF grant DMS 1503044.
The fourth author was partly supported by NSF grant DMS 0953011.

Keywords

Cosupport
finite group scheme
localizing subcatergory
support
thick subcategory

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10.1090/jams/887Licence: Unspecified

Accepted Manuscript
© Copyright 2017 American Mathematical Society. First published in Journal of the American Mathematical Society in Volume 31, Number 1, January 2018, published by the American Mathematical Society. The manuscript version of the Work, either before or after peer review, may be reproduced (under license no less restrictive than the CC-BY-NC-ND Creative Commons License) by any means for educational and scientific purposes by the Author, or by others without fee or permission. Without limitation, this means that the Author may post the peer-reviewed manuscript of the Work on the Author’s own website, contribute it to the Author’s institutional repository, and post it on arXiv.org, all provided that no commercial use and no derivative works are permitted.
Accepted author manuscript, 469 KBLicence: CC BY-NC-ND

https://arxiv.org/abs/1510.06773v3Licence: Unspecified

David Benson
- School of Natural & Computing Sciences, Mathematical Science - Emeritus Professor
Person: Honorary

Cite this

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title = "Stratification for module categories of finite group schemes",

abstract = "The tensor ideal localizing subcategories of the stable module category of all, including infinite dimensional, representations of a finite group scheme over a field of positive characteristic are classified. Various applications concerning the structure of the stable module category and the behavior of support and cosupport under restriction and induction are presented. ",

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author = "Dave Benson and Iyengar, {Srikanth B.} and Henning Krause and Julia Pevtsova",

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AU - Krause, Henning

AU - Pevtsova, Julia

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KW - Cosupport

KW - finite group scheme

KW - localizing subcatergory

KW - support

KW - thick subcategory

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Stratification for module categories of finite group schemes

Abstract

Bibliographical note

Keywords

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David Benson

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