2 citations · 2 across the 4 of their papers we have counts for
4 papers
Resonance relations, holomorphic trace functions and hypergeometric solutions to qKZB and Macdonald-Ruijsenaars equations
K. Styrkas, A. Varchenko
The resonance relations are identities between coordinates of functions with values in tensor products of representations of the quantum group Uq(sl2). We show that the space of hy…
Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology
Igor B. Frenkel, Konstantin Styrkas
We identify the algebra of matrix elements of big projective modules in category O with the regular functions on the big Bruhat cell of G. Analogous extensions of the regular repre…
How to regularize singular vectors and kill the dynamical Weyl group
K. Styrkas, V. Tarasov, A. Varchenko
We study the meromorphic family of intertwining operators between Verma modules and their products with finite-dimensional ones. A regularizing operator, acting in a finite dimensi…
Algebraic integrability of Macdonald operators and representations of quantum groups
Pavel Etingof, Konstantin Styrkas
In this paper we construct examples of commutative rings of difference operators with matrix coefficients from representation theory of quantum groups, generalizing the results of…