48 citations · 118 across the 17 of their papers we have counts for
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A generalized semi-infinite Hecke equivalence and the local geometric Langlands correspondence
Alexey Sevostyanov
We introduce a class of equivalences, which we call generalized semi-infinite Hecke equivalences, between certain categories of representations of graded associative algebras which…
Strictly transversal slices to conjugacy classes in algebraic groups
A. Sevostyanov
We show that for every conjugacy class O in a connected semisimple algebraic group G over a field of characteristic good for G one can find a special transversal slice S to the set…
The geometric meaning of Zhelobenko operators
Alexey Sevostyanov
Let g be the complex semisimple Lie algebra associated to a complex semisimple algebraic group G, b a Borel subalgebra of g, h the Cartan sublagebra contained in b and N the unipot…
Conjugacy classes in Weyl groups and q-W algebras
A. Sevostyanov
We define noncommutative deformations of algebras of functions on certain (finite coverings of) transversal slices to the set of conjugacy classes in an algebraic group…