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

• Autores: David Goldberg, Alan Roche
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 90, Nº 1, 2005, págs. 87-131
• Idioma: inglés
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• Resumen

  • 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.