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Higher dimensional Heegaard Floer homology (HDHF) is a higher dimensional analogue of Heegaard Floer homology in dimension three. It's partly used to study contact topology in higher dimensions. In a ...
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...
IWAHORI-HECKE ALGEBRAS     center  IWAHORI-HECKE ALGEBRAS       2015/9/29
Our aim here is to give a fairly self-contained exposition of some basic facts about the Iwahori-Hecke algebra H of a split p-adic group G, including Bernstein’s presentation and description of the ...
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       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...
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 ...
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...
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...
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.
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...
Let $\pi, \pi'$ be tempered representations of an affine Hecke algebra with positive parameters. We study their Euler--Poincar\'e pairing $EP (\pi,\pi')$, the alternating sum of the dimensions of the...
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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