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Hecke algebras and ${\rm SL}_n$-types

Published online by Cambridge University Press:  16 December 2004

David Goldberg  and
Alan Roche
David Goldberg
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA. E-mail: goldberg@math.purdue.edu
Alan Roche
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA. E-mail: aroche@math.ou.edu
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Abstract

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.

Keywords

typeintertwiningconvolutionHecke algebra22E5020G05
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 90 , Issue 1 , January 2005 , pp. 87 - 131
Copyright
2004 London Mathematical Society

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