Quillen stratification for block varieties

Markus Linckelmann

doi:10.1016/S0022-4049(01)00143-8

Quillen stratification for block varieties

Markus Linckelmann

Mathematical Science

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

13 Citations (Scopus)

Abstract

The classical results on stratifications for cohomology varieties of finite groups and their modules due to Quillen (Ann. Math. 94 (1971) 549-572; 573-602) and Avrunin-Scott (invent, Math. 66 (1982) 277-286) carry over to the varieties associated with finitely-generated modules over p-blocks of finite groups, introduced in Linckelmann (J. Algebra 215 (1999) 460-480). (C) 2001 Elsevier Science B.V. All rights reserved.

Original language	English
Pages (from-to)	257-270
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	172
Issue number	2-3
DOIs	https://doi.org/10.1016/S0022-4049(01)00143-8
Publication status	Published - Jul 2002

Keywords

EQUIVARIANT COHOMOLOGY RING
CHARACTERS
ALGEBRAS
SPECTRUM
THEOREM

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10.1016/S0022-4049(01)00143-8

Cite this

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title = "Quillen stratification for block varieties",

abstract = "The classical results on stratifications for cohomology varieties of finite groups and their modules due to Quillen (Ann. Math. 94 (1971) 549-572; 573-602) and Avrunin-Scott (invent, Math. 66 (1982) 277-286) carry over to the varieties associated with finitely-generated modules over p-blocks of finite groups, introduced in Linckelmann (J. Algebra 215 (1999) 460-480). (C) 2001 Elsevier Science B.V. All rights reserved.",

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AB - The classical results on stratifications for cohomology varieties of finite groups and their modules due to Quillen (Ann. Math. 94 (1971) 549-572; 573-602) and Avrunin-Scott (invent, Math. 66 (1982) 277-286) carry over to the varieties associated with finitely-generated modules over p-blocks of finite groups, introduced in Linckelmann (J. Algebra 215 (1999) 460-480). (C) 2001 Elsevier Science B.V. All rights reserved.

KW - EQUIVARIANT COHOMOLOGY RING

KW - CHARACTERS

KW - ALGEBRAS

KW - SPECTRUM

KW - THEOREM

U2 - 10.1016/S0022-4049(01)00143-8

DO - 10.1016/S0022-4049(01)00143-8

M3 - Article

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VL - 172

SP - 257

EP - 270

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 2-3

ER -

Quillen stratification for block varieties

Abstract

Keywords

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