AbstractUsing the orbifold KZ connection we construct a functor from an affine parabolic category O of type A to the category O of a cyclotomic rational double affine Hecke algebra H. Then we give several results concerning this functor
AbstractGiven a hyperplane arrangement in an affine space equipped with a linear functional, we defi...
We give a construction of an affine Hecke algebra associated to any Coxeter group acting on an abeli...
40 pagesInternational audienceWe give a Morita equivalence theorem for so-called cyclotomic quotient...
AbstractUsing the orbifold KZ connection we construct a functor from an affine parabolic category O ...
82 pagesVaragnolo and Vasserot conjectured an equivalence between the category O for CRDAHA's and a ...
57 pagesIn this paper we categorify the Heisenberg action on the Fock space via the category O of cy...
The present thesis work focuses on the study of the category O of degenerate double affine Hecke alg...
The parabolic category $\mathcal{O}$ for affine ${\mathfrak{gl}}_N$ at level $-N-e$ admits a structu...
This thesis consists of three chapters. In Chapter I, we define the i-restriction and i-induction fu...
We define and study cyclotomic quotients of affine Hecke algebras of type D. We establish an isomorp...
In the first part of the thesis we give a construction of a basis of the positive part f of theDrinf...
We formulate a conjecture which interprets DAHA superpolynomials colored by fundamental weights to t...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.Includes bibliogr...
AbstractThis paper classifies the blocks of the cyclotomic Hecke algebras of type G(r,1,n) over an a...
We define and study cyclotomic quotients of affine Hecke algebras of type B. We establish an isomorp...
AbstractGiven a hyperplane arrangement in an affine space equipped with a linear functional, we defi...
We give a construction of an affine Hecke algebra associated to any Coxeter group acting on an abeli...
40 pagesInternational audienceWe give a Morita equivalence theorem for so-called cyclotomic quotient...
AbstractUsing the orbifold KZ connection we construct a functor from an affine parabolic category O ...
82 pagesVaragnolo and Vasserot conjectured an equivalence between the category O for CRDAHA's and a ...
57 pagesIn this paper we categorify the Heisenberg action on the Fock space via the category O of cy...
The present thesis work focuses on the study of the category O of degenerate double affine Hecke alg...
The parabolic category $\mathcal{O}$ for affine ${\mathfrak{gl}}_N$ at level $-N-e$ admits a structu...
This thesis consists of three chapters. In Chapter I, we define the i-restriction and i-induction fu...
We define and study cyclotomic quotients of affine Hecke algebras of type D. We establish an isomorp...
In the first part of the thesis we give a construction of a basis of the positive part f of theDrinf...
We formulate a conjecture which interprets DAHA superpolynomials colored by fundamental weights to t...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2005.Includes bibliogr...
AbstractThis paper classifies the blocks of the cyclotomic Hecke algebras of type G(r,1,n) over an a...
We define and study cyclotomic quotients of affine Hecke algebras of type B. We establish an isomorp...
AbstractGiven a hyperplane arrangement in an affine space equipped with a linear functional, we defi...
We give a construction of an affine Hecke algebra associated to any Coxeter group acting on an abeli...
40 pagesInternational audienceWe give a Morita equivalence theorem for so-called cyclotomic quotient...
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