3 papers
math.QA2001
Drinfeld-Sokolov reduction for quantum groups and deformations of W-algebras
A. Sevostyanov
We define deformations of W-algebras associated to complex semi-simple Lie algebras by means of quantum Drinfeld-Sokolov reduction procedure for affine quantum groups. We also intr…
math.RA2000
Semi-infinite cohomology and Hecke algebras
A. Sevostyanov
This paper provides a homological algebraic foundation for generalizations of classical Hecke algebras introduced in math.QA/9805134. These new Hecke algebras are associated to tri…
math.QA1999
Quantum deformation of Whittaker modules and Toda lattice
A. Sevostyanov
In 1978 Kostant suggested the Whittaker model of the center of the universal enveloping algebra U(g) of a complex simple Lie algebra g. The main result is that the center of U(g) i…