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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher dimensional Heegaard Floer homology and Hecke algebras
高维 希加德弗洛尔同调 赫克代数
2023/4/18
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 ...
THE SATAKE ISOMORPHISM FOR SPECIAL MAXIMAL PARAHORIC HECKE ALGEBRAS
PARAHORIC HECKE Algebra
2015/9/29
Let G denote a connected reductive group over a nonarchimedean
local field F. Let K denote a special maximal parahoric subgroup of G(F). We
establish a Satake isomorphism for the Hecke algebra...
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 ...
THE BASE CHANGE FUNDAMENTAL LEMMA FOR CENTRAL ELEMENTS IN PARAHORIC HECKE ALGEBRAS
PARAHORIC HECKE Algebra
2015/9/29
Let G be an unramified group over a p-adic field 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...
Hermitian and Unitary Representations for Affine Hecke Algebras
Affine Hecke Algebras Hermitian and Unitary
2015/8/17
This talk is about aspects of representation theory of padic
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...
Hermitian and Unitary Representations for Affine Hecke Algebras
Affine Hecke Algebras Hermitian and Unitary
2015/8/17
This talk is about aspects of representation theory of padic
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...
Asymptotic Hecke algebras and involutions
Asymptotic Hecke algebras involutions Representation Theory
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
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...
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...
Random partitions and asymptotic theory of symmetric groups, Hecke algebras and finite Chevalley groups
Random partitions asymptotic theory of symmetric groups Hecke algebras finite Chevalley groups
2011/2/22
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.
The representation dimension of Hecke algebras and symmetric groups
Hecke algebras symmetric groups
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...
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...
Affine cellularity of affine Hecke algebras of rank two
Affine cellularity affine Hecke algebras
2010/11/15
We show that affine Hecke algebras of rank two with generic parameters are affine cellular in the sense of Koenig-Xi.