منابع مشابه
Hecke Algebras of Classical Groups over p-adic Fields II
In the previous part of this paper, we constructed a large family of Hecke algebras on some classical groups G de¢ned over p-adic ¢elds in order to understand their admissible representations. EachHecke algebra is associated to a pair JS; rSof an open compact subgroup JS and its irreducible representation rSwhich is constructed fromgiven dataS G;P0 0; R. Here, G is a semisimple element in...
متن کاملIWAHORI-HECKE ALGEBRAS FOR p-ADIC LOOP GROUPS
This paper is a continuation of [3] in which the first two authors have introduced the spherical Hecke algebra and the Satake isomorphism for an untwisted affine Kac-Moody group over a non-archimedian local field. In this paper we develop the theory of the Iwahori-Hecke algebra associated to these same groups. The resulting algebra is shown to be closely related to Cherednik’s double affine Hec...
متن کاملBanach-Hecke Algebras and p-Adic Galois Representations
In this paper, we take some initial steps towards illuminating the (hypothetical) p-adic local Langlands functoriality principle relating Galois representations of a p-adic field L and admissible unitary Banach space representations of G(L) when G is a split reductive group over L. 2000 Mathematics Subject Classification: 11F80, 11S37, 22E50
متن کاملON UNITARY UNIPOTENT REPRESENTATIONS OF p-ADIC GROUPS AND AFFINE HECKE ALGEBRAS WITH UNEQUAL PARAMETERS
We determine the unitary dual of the geometric graded Hecke algebras with unequal parameters which appear in Lusztig’s classification of unipotent representations for exceptional p-adic groups. The largest such algebra is of type F4. Via the Barbasch-Moy correspondence of unitarity applied to this setting, this is equivalent to the identification of the corresponding unitary unipotent represent...
متن کاملHomological Algebra for Schwartz Algebras of Reductive P-adic Groups
Let G be a reductive group over a non-Archimedean local field. Then the canonical functor from the derived category of smooth tempered representations of G to the derived category of all smooth representations of G is fully faithful. Here we consider representations on bornological vector spaces. As a consequence, if G is semi-simple, V and W are tempered irreducible representations of G, and V...
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ژورنال
عنوان ژورنال: Current Developments in Mathematics
سال: 2015
ISSN: 1089-6384,2164-4829
DOI: 10.4310/cdm.2015.v2015.n1.a3