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Hecke Algebras and SL n ‐Types
Author(s) -
Goldberg David,
Roche Alan
Publication year - 2005
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s0024611504014881
Subject(s) - mathematics , pure mathematics , hecke algebra , type (biology) , field (mathematics) , decomposition , mathematics subject classification , subject (documents) , algebra over a field , ecology , library science , computer science , biology
Let F be a non‐Archimedean local field. In an earlier paper, we constructed certain types (in the sense of Bushnell and Kutzko) in SL n (F), in fact enough to describe the non‐supercuspidal components of the Bernstein decomposition of this group. We now give an almost fully explicit presentation of the Hecke algebras of these types. 2000 Mathematics Subject Classification 22E50, 20G05.