53 citations · 507 across the 55 of their papers we have counts for
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Computation of weight lattices of G-varieties
Ivan V. Losev
Let G be a connected reductive group. To any irreducible G-variety one assigns the lattice generated by all weights of B-semiinvariant rational functions on X, where B$ is a Borel…
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…
Classification of multiplicity free Hamiltonian actions of complex tori on Stein manifolds
Ivan V. Losev
A Hamiltonian action of a complex torus on a symplectic complex manifold is said to be {\it multiplicity free} if a general orbit is a lagrangian submanifold. To any multiplicity f…
Quantized symplectic actions and W-algebras
Ivan Losev
With a nilpotent element in a semisimple Lie algebra g one associates a finitely generated associative algebra W called a W-algebra of finite type. This algebra is obtained from th…
Demazure embeddings are smooth
Ivan V. Losev
We prove Brion's conjecture stating that the closure of the orbit of a self-normalizing spherical subalgebra in the corresponding Grassmanian is smooth
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…