A topological approach to Springer's representations
David Kazhdan,George Lusztig +1 more
Reads0
Chats0
TLDR
In this article, the completeness of W-representation in the top homology of the Weyl group of G has been proved, independent of the assumption that the representation of W is a two-sided regular representation.About:
This article is published in Advances in Mathematics.The article was published on 1980-11-01 and is currently open access. It has received 129 citations till now. The article focuses on the topics: Regular representation & Unipotent.read more
Citations
More filters
Journal ArticleDOI
Proof of the Deligne-Langlands conjecture for Hecke algebras
David Kazhdan,George Lusztig +1 more
Journal ArticleDOI
Gauge Theory, Ramification, And The Geometric Langlands Program
Sergei Gukov,Edward Witten +1 more
TL;DR: In this paper, the authors show that the hypothesis of S-duality for surface operators leads to a natural extension of the geometric Langlands program for the case of tame ramification, which involves an action of the affine Weyl group on the cohomology of the moduli space of Higgs bundles with ramification.
Posted Content
Gauge Theory, Ramification, And The Geometric Langlands Program
Sergei Gukov,Edward Witten +1 more
TL;DR: In this article, the authors show that the hypothesis of S-duality for surface operators leads to a natural extension of the geometric Langlands program for the case of tame ramification, which involves an action of the affine Weyl group on the cohomology of the moduli space of Higgs bundles with ramification.
Journal ArticleDOI
Geometric construction of crystal bases
Masaki Kashiwara,Yoshihisa Saito +1 more
TL;DR: In this paper, the crystal associated to the quantized enveloping algebras with a symmetric generalized Cartan matrix was realized as a set of Lagrangian subvarieties of the cotangent bundle of the quiver variety, and a counterexample to the conjecture of Kazhdan--Lusztig on the irreducibility of the characteristic variety of the intersection cohomology sheaves associated with the Schubert cells of type A was given.
Journal ArticleDOI
Characteristic varieties and vanishing cycles.
TL;DR: The authors present an etude systematique des varietes caracteristiques des systemes holonomes a singularites regulieres coniques dans le fibre cotangent T * X
References
More filters
Journal ArticleDOI
Representations of Coxeter Groups and Hecke Algebras.
David Kazhdan,George Lusztig +1 more
TL;DR: In this article, the problem of decomposing this space of functions into irreducible representations of a finite Chevalley group G(Fq) is equivalent to decomposing the regular representation o f ~ | | (12) of a Coxeter group.
Journal ArticleDOI