4 papers
Deformation theory of the Double Affine Hecke algebra of type
Nikolay Grantcharov
We study the double affine Hecke algebra (DAHA) of type from the perspective of deformation theory. First, we provide a zeros-and-residues realization of this alge…
Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties
Nikolay Grantcharov, Aaron Slipper
We show that Braverman--Kazhdan normalized intertwiners for have a quasi-classical incarnation governed by type quiver varieties. More precisely, for standar…
Extension Quiver for Lie Superalgebra
Nikolay Grantcharov, Vera Serganova
We describe all blocks of the category of finite-dimensional -supermodules by providing their extension quivers. We also obtain two general results about the repre…
On BBW parabolics for simple classical Lie superalgebras
Dimitar Grantcharov, Nikolay Grantcharov, Daniel K. Nakano +1
In this paper the authors introduce a class of parabolic subalgebras for classical simple Lie superalgebras associated to the detecting subalgebras introduced by Boe, Kujawa and Na…