Brauer's generalized decomposition numbers and universal deformation rings

Frauke M Bleher

doi:10.1090/S0002-9947-2014-06120-5

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Brauer's generalized decomposition numbers and universal deformation rings

Journal article

Open access

Peer reviewed

Brauer's generalized decomposition numbers and universal deformation rings

Frauke M Bleher

Transactions of the American Mathematical Society, Vol.366(12), pp.6507-6540

03/31/2012

DOI: 10.1090/S0002-9947-2014-06120-5

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Abstract

Trans. Amer. Math. Soc. 366 (2014), 6507-6540 The versal deformation ring R(G,V) of a mod p representation V of a profinite group G encodes all isomorphism classes of lifts of V to representations of G over complete local commutative Noetherian rings. We introduce a new technique for determining R(G,V) when G is finite which involves Brauer's generalized decomposition numbers.

Mathematics - Group Theory

Details

Title: Subtitle: Brauer's generalized decomposition numbers and universal deformation rings
Creators: Frauke M Bleher
Resource Type: Journal article
Publication Details: Transactions of the American Mathematical Society, Vol.366(12), pp.6507-6540
DOI: 10.1090/S0002-9947-2014-06120-5
ISSN: 0002-9947
eISSN: 1088-6850
Publisher: American Mathematical Society
Language: English
Date published: 03/31/2012
Academic Unit: Mathematics
Record Identifier: 9983986098502771

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