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THE SATAKE ISOMORPHISM FOR SPECIAL MAXIMAL PARAHORIC HECKE ALGEBRAS     PARAHORIC HECKE  Algebra       font style='font-size:12px;'> 2015/9/29
Let G denote a connected reductive group over a nonarchimedean localeld F. Let K denote a special maximal parahoric subgroup of G(F). We establish a Satake isomorphism for the Hecke algebra...
Let G be an unramified group over a p-adic eld F, and let E/F be a finite unramified extension field. Let θ denote a generator of Gal(E/F). This paper concerns the ma...
This talk is about aspects of representation theory of p􀀀adic groups that parallel real groups. In the case of real groups, the results refer to J. Adams, P. Trapa, M. vanLeuwen, W-L. Yee a...
This talk is about aspects of representation theory of p􀀀adic groups that parallel real groups. This conforms to the Lefschetz principle which states that what is true for real groups is al...
Hecke Algebras     Hecke  Algebras       font style='font-size:12px;'> 2015/7/6
By a Hecke Algebra we will usually mean an Iwahori Hecke algebra. We will now explain what these are. A Coxeter group consist of data (W; I) where W is a group and I = fs1;    ; srg of elements o...
Asymptotic Hecke algebras and involutions     Asymptotic Hecke algebras  involutions  Representation Theory       font style='font-size:12px;'> 2012/4/17
In a previous paper the author and D. Vogan defined and studied a Hecke algebra module structure on a vector space spanned by the involutions in a Weyl group. In this paper this study is continued by ...
Smith theory and geometric Hecke algebras     Smith theory  geometric Hecke algebras  Representation Theory       font style='font-size:12px;'> 2011/9/15
Abstract: In 1960 Borel proved a "localization" result relating the rational cohomology of a topological space X to the rational cohomology of the fixed points for a torus action on X. This result and...
On representations of cyclotomic Hecke algebras      representations  cyclotomic Hecke algebras        font style='font-size:12px;'> 2011/2/28
An approach, based on Jucys–Murphy elements, to the representation theory of cy-clotomic Hecke algebras is developed. The maximality (in the cyclotomic Hecke algebra)of the set of the Jucys–Murphy ele...
Kit meanwhile had begun to frequent the Applied Mechanics Institute. Since Prandtl’s recent discovery of the boundary layer, things over there had been hopping, with intense inquiry into matters of li...
Infinitesimal Hecke Algebras III      Infinitesimal Hecke Algebras III        font style='font-size:12px;'> 2011/2/24
We define Lie subalgebras of the group algebra of a finite pseudo-reflection group that are involved in the definition of the Cherednik KZsystems,and determine their structure.
The representation dimension of Hecke algebras and symmetric groups     Hecke algebras  symmetric groups       font style='font-size:12px;'> 2010/11/22
We establish a lower bound for the representation dimension of all the classical Hecke algebras of types A, B and D. For all the type A algebras, and most of the algebras of types B and D, we also es...
Affine cellularity of affine Hecke algebras of rank two     Affine cellularity   affine Hecke algebras       font style='font-size:12px;'> 2010/11/15
We show that affine Hecke algebras of rank two with generic parameters are affine cellular in the sense of Koenig-Xi.

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