City Research Online - Finite generation of Hochschild cohomology of Hecke algebras of finite classical type in characteristic zero

Finite generation of Hochschild cohomology of Hecke algebras of finite classical type in characteristic zero

Linckelmann, M. (2011). Finite generation of Hochschild cohomology of Hecke algebras of finite classical type in characteristic zero. Bulletin of the London Mathematical Society, 43(5), pp. 871-885. doi: 10.1112/blms/bdr024

Abstract

We show that the Hochschild cohomology HH*(ℋ) of a Hecke algebra ℋ of finite classical type over a field k of characteristic zero and a non-zero parameter q in k is finitely generated, unless possibly if q has even order in k× and ℋ is of type B or D.

Publication Type:	Article
Subjects:	Q Science > QA Mathematics
Departments:	School of Science & Technology > Mathematics
SWORD Depositor:	Symplectic Administrator

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Official URL: https://doi.org/10.1112/blms/bdr024

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Creators:	Linckelmann, M.
Status:	Published
Refereed:	Yes
Journal or Publication Title:	Bulletin of the London Mathematical Society
Publisher:	Wiley
ISSN:	0024-6093
e-ISSN:	1469-2120
URI:	https://openaccess.city.ac.uk/id/eprint/1874
Date available in CRO:	23 Nov 2012 13:53
Dates:	Date Event 2011 Published