Showing math.RTShow all
3 papers · 1 filter
math.RT2022
The universe inside Hall algebras of coherent sheaves on toric resolutions
Boris Tsvelikhovskiy
Let be a simple Lie algebra of type with the corresponding affine Kac-Moody algebra and $\mathfrak{n}_-\subset \…
math.RT2019
On Poincare polynomials of shuffle algebra representations
Boris Tsvelikhovskiy
In this paper we study some combinatorial properties of the shuffle algebra with two complex parameters and, in particular, obtain the Hilbert series for $S_{q_{1…
math.RT2019
On categories of quiver varieties overlying the bouquet graphs
Boris Tsvelikhovskiy
We study representation theory of quantizations of Nakajima quiver varieties associated to bouquet quivers. We show that there are no finite dimensional representations of the quan…