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Finite generation of Hochschild cohomology of Hecke algebras of finite classical type in characteristic zero
Author(s) -
Linckelmann Markus
Publication year - 2011
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdr024
Subject(s) - mathematics , zero (linguistics) , cohomology , type (biology) , pure mathematics , hecke algebra , order (exchange) , field (mathematics) , algebra over a field , ecology , philosophy , linguistics , biology , finance , economics
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 .