34 citations · 43 across the 5 of their papers we have counts for
6 papers
Uniqueness properties for spherical varieties
Ivan Losev
The goal of these lectures is to explain speaker's results on uniqueness properties of spherical varieties. By a uniqueness property we mean the following. Consider some special cl…
On the structure of the category O for W-algebras
Ivan Losev
W-algebra (of finite type) W is a certain associative algebra associated with a semisimple Lie algebra, say g, and its nilpotent element, say e. The goal of this paper is to study…
Lifting central invariants of quantized Hamiltonian actions
Ivan V. Losev
Let G be a connected reductive group over an algebraically closed field K of characteristic 0, X an affine symplectic variety equipped with a Hamiltonian action of G. Further, let…
Uniqueness property for spherical homogeneous spaces
Ivan V. Losev
Let G be a connected reductive group. Recall that a G-variety X is called spherical if X is normal and a Borel subgroup of G has an open orbit on X. To a spherical homogeneous G-sp…
Combinatorial invariants of algebraic Hamiltonian actions
Ivan V. Losev
To any Hamiltonian action of a reductive algebraic group on a smooth irreducible symplectic variety we associate certain combinatorial invariants: Cartan space, Weyl group,…
The Kempf-Ness theorem and Invariant Theory
Ivan V. Losev
We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.