105 citations · 117 across the 11 of their papers we have counts for
11 papers
Affine Hecke algebras and symmetric quasi-polynomial duality
Vidya Venkateswaran
In a recent paper with Sahi and Stokman, we introduced quasi-polynomial generalizations of Macdonald polynomials for arbitrary root systems via a new class of representations of th…
Quasi-polynomial representations of double affine Hecke algebras
Siddhartha Sahi, Jasper Stokman, Vidya Venkateswaran
We introduce an explicit family of representations of the double affine Hecke algebra acting on spaces of quasi-polynomials, defined in terms of truncated Demazure-Lus…
Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials
Siddhartha Sahi, Jasper V. Stokman, Vidya Venkateswaran
Chinta and Gunnells introduced a rather intricate multi-parameter Weyl group action on rational functions on a torus, which, when the parameters are specialized to certain Gauss su…
Signature characters of highest-weight representations of
Vidya Venkateswaran
We consider , the quantum group of type for , generic. We provide formulas for signature characters of irreducible finite-dimensional hig…
On the expansion of certain vector-valued characters of with respect to the Gelfand-Tsetlin basis
Vidya Venkateswaran
Macdonald polynomials are an important class of symmetric functions, with connections to many different fields. Etingof and Kirillov showed an intimate connection between these fun…
Signatures of representations of Hecke algebras and rational Cherednik algebras
Vidya Venkateswaran
Determining whether an irreducible representation of a group (or -algebra) admits a non-degenerate invariant, positive-definite Hermitian form is an important problem in represe…