102 citations · 111 across the 13 of their papers we have counts for
8 papers · 1 filter
Quantum Character Theory
Sam Gunningham, David Jordan, Monica Vazirani
We develop a -analogue of the theory of conjugation equivariant -modules on a complex reductive group . In particular, we define quantum Hotta-Kashiwara…
From representations of the rational Cherednik algebra to parabolic Hilbert schemes via the Dunkl-Opdam subalgebra
Eugene Gorsky, José Simental, Monica Vazirani
In this note we explicitly construct an action of the rational Cherednik algebra corresponding to the permutation representation of on the $\mat…
The rectangular representation of the double affine Hecke algebra via elliptic Schur-Weyl duality
David Jordan, Monica Vazirani
Given a module for the algebra of quantum differential operators on , and a positive integer , we may equip the space of invarian…
Categorifying the tensor product of the Kirillov-Reshetikhin crystal and a fundamental crystal
Henry Kvinge, Monica Vazirani
We use Khovanov-Lauda-Rouquier (KLR) algebras to categorify a crystal isomorphism between a fundamental crystal and the tensor product of a Kirillov-Reshetikhin crystal and another…
Categorifying the tensor product of a level 1 highest weight and perfect crystal in type A
Monica Vazirani
We use Khovanov-Lauda-Rouquier algebras to categorify a crystal isomorphism between a highest weight crystal and the tensor product of a perfect crystal and another highest weight…
Crystals from categorified quantum groups
Aaron D. Lauda, Monica Vazirani
We study the crystal structure on categories of graded modules over algebras which categorify the negative half of the quantum Kac-Moody algebra associated to a symmetrizable Carta…