48 citations · 118 across the 17 of their papers we have counts for
4 papers · 1 filter
Q-W-algebras, Zhelobenko operators and a proof of De Concini-Kac-Procesi conjecture
Alexey Sevostyanov
This monograph, along with a self-consistent presentation of the theory of q-W-algebras including the construction of algebraic group analogues of Slodowy slices, contains a descri…
Regular nilpotent elements and quantum groups
A. Sevostyanov
We suggest new realizations of quantum groups corresponding to complex simple Lie algebras, and of affine quantum groups. These new realizations are labeled by Coxeter elements of…
Reduction of quantum systems with arbitrary first class constraints and Hecke algebras
A. Sevostyanov
We propose a method for reduction of quantum systems with arbitrary first class constraints. An appropriate mathematical setting for the problem is homology of associative algebras…
Towards Drinfeld-Sokolov reduction for quantum groups
A. Sevostyanov
In this paper we study the Poisson-Lie version of the Drinfeld-Sokolov reduction defined in q-alg/9704011, q-alg/9702016. Using the bialgebra structure related to the new Drinfeld…