3 citations · 4 across the 6 of their papers we have counts for
9 papers
The Dunkl Weight Function for Rational Cherednik Algebras
Seth Shelley-Abrahamson
In this paper we prove the existence of the Dunkl weight function for any irreducible representation of any finite Coxeter group , generalizing previous results o…
Parameters for Generalized Hecke Algebras in Type B
Max Murin, Seth Shelley-Abrahamson
The irreducible representations of full support in the rational Cherednik category attached to a Coxeter group are in bijection with the irreducible represen…
On Refined Filtration By Supports for Rational Cherednik Categories O
Ivan Losev, Seth Shelley-Abrahamson
For a complex reflection group with reflection representation , we define and study a natural filtration by Serre subcategories of the category $\mathcal{O}_c(W,…
Towards a classification of finite-dimensional representations of rational Cherednik algebras of type D
Seth Shelley-Abrahamson, Alec Sun
Using a combinatorial description due to Jacon and Lecouvey of the wall crossing bijections for cyclotomic rational Cherednik algebras, we show that the irreducible representations…
An Explicit Description of the B(\infty) Crystal For Generalized Quantum Groups of a Family of Comet Quivers
Uma Roy, Seth Shelley-Abrahamson
Tristan Bozec gave a definition of generalized quantum groups that extends the usual definition of quantum groups to finite quivers with loops at vertices, and he introduced a theo…
A Family of Finite-Dimensional Representations of Generalized Double Affine Hecke Algebras of Higher Rank
Yuchen Fu, Seth Shelley-Abrahamson
We give explicit constructions of some finite-dimensional representations of generalized double affine Hecke algebras (GDAHA) of higher rank using -matrices for $U_q(\mathfrak{s…