53 citations · 507 across the 55 of their papers we have counts for
4 papers · 2 filters
On isomorphisms of certain functors for Cherednik algebras
Ivan Losev
Bezrukavnikov and Etingof introduced some functors between the categories O for rational Cherednik algebras. Namely, they defined two induction functors Ind_b, ind_λand two restric…
Quantizations of nilpotent orbits vs 1-dimensional representations of W-algebras
Ivan Losev
Let g be a semisimple Lie algebra over an algebraically closed field K of characteristic 0 and O be a nilpotent orbit in g. Then Orb is a symplectic algebraic variety and one can a…
Finite W-algebras
Ivan Losev
A finite W-algebra is an associative algebra constructed from a semisimple Lie algebra and its nilpotent element. In this survey we review recent developments in the representation…
Completions of symplectic reflection algebras
Ivan Losev
In this paper we study the structure of completions of symplectic reflection algebras. Our results provides a reduction to smaller algebras. We apply this reduction to the study of…