8 citations · 12 across the 8 of their papers we have counts for
9 papers
The structure of q-W algebras
A. Sevostyanov
We suggest two explicit descriptions of the Poisson q-W algebras which are Poisson algebras of regular functions on certain algebraic group analogues of the Slodowy transversal sli…
Representations of quantum groups at roots of unity, Whittaker vectors and q-W algebras
A. Sevostyanov
Let be the standard simply connected version of the Drinfeld-Jumbo quantum group at an odd primitive m-th root of unity . The center of…
Localization of quantum biequivariant D-modules and q-W algebras
A. Sevostyanov
We present a biequivariant version of Kremnizer-Tanisaki localization theorem for quantum D-modules. We also obtain an equivalence between a category of finitely generated equivari…
The Poisson geometry of the conjugation quotient map for simple algebraic groups and deformed Poisson W-algebras
A. Sevostyanov
We define Poisson structures on certain transversal slices to conjugacy classes in complex simple algebraic groups introduced in arXiv:0809.0205. These slices are associated to the…
The structure of the nilpotent cone, the Kazhdan-Lusztig map and algebraic group analogues of the Slodowy slices
A. Sevostyanov
We define algebraic group analogues of the Slodowy transversal slices to adjoint orbits in a complex semisimple Lie algebra g. The new slices are transversal to the conjugacy class…
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…