Harmonic analysis for affine Hecke algebras
نویسندگان
چکیده
منابع مشابه
Hecke group algebras as degenerate affine Hecke algebras
The Hecke group algebra H W̊ of a finite Coxeter group W̊ , as introduced by the first and last author, is obtained from W̊ by gluing appropriately its 0-Hecke algebra and its group algebra. In this paper, we give an equivalent alternative construction in the case when W̊ is the classical Weyl group associated to an affine Weyl group W . Namely, we prove that, for q not a root of unity, H W̊ is the ...
متن کاملAffine Hecke algebras, cyclotomic Hecke algebras and Clifford theory
We show that the Young tableaux theory and constructions of the irreducible representations of the Weyl groups of type A, B and D, Iwahori-Hecke algebras of types A, B, and D, the complex reflection groups G(r, p, n) and the corresponding cyclotomic Hecke algebras Hr,p,n, can be obtained, in all cases, from the affine Hecke algebra of type A. The Young tableaux theory was extended to affine Hec...
متن کاملAnalytic R-groups of Affine Hecke Algebras
Date: September 7, 2009. 2000 Mathematics Subject Classification. Primary 20C08; Secondary 22D25, 22E35, 43A30. During the preparation of this paper the first named author was supported by the program ANR-08-BLAN-01. During the preparation of this paper the second named author was partially supported by a Pionier grant of the Netherlands Organization for Scientific Research (NWO). He also enjoy...
متن کاملCalibrated representations of affine Hecke algebras
This paper introduces the notion of calibrated representations for affine Hecke algebras and classifies and constructs all finite dimensional irreducible calibrated representations. The main results are that (1) irreducible calibrated representations are indexed by placed skew shapes, (2) the dimension of an irreducible calibrated representation is the number of standard Young tableaux correspo...
متن کاملLinear Koszul Duality and Affine Hecke Algebras
In this paper we prove that the linear Koszul duality equivalence constructed in a previous paper provides a geometric realization of the Iwahori-Matsumoto involution of affine Hecke algebras.
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ژورنال
عنوان ژورنال: Current Developments in Mathematics
سال: 1996
ISSN: 1089-6384,2164-4829
DOI: 10.4310/cdm.1996.v1996.n1.a2