5 citations · 8 across the 5 of their papers we have counts for
5 papers
Tate-Shafarevich groups and algebras
Boris Kunyavskii, Vadim Z. Ostapenko
The Tate-Shafarevich set of a group G defined by Takashi Ono coincides, in the case where G is finite, with the group of outer class-preserving automorphisms of G introduced by Bur…
Quantum exceptional group and its conjugacy classes
Alexander Baranov, Andrey Mudrov, Vadim Ostapenko
We construct quantization of semisimple conjugacy classes of the exceptional group along with and by means of their exact representations in highest weight modules of the q…
Quantization of orbit bundles in
A. Mudrov, V. Ostapenko
Let be the complex general linear group and its Lie algebra equipped with a factorizable Lie bialgebra structure; let be the corresponding quantum group. We construct…
$\Ughr$ invariant quantization on some homogeneous manifolds
Vadim Ostapenko
We consider a class of homogeneous manifolds over a simple Lie group which appears in the problem of classification of homogeneous manifolds with reductive subgroups of maximal ran…
Equivariant quantization on quotients of simple Lie groups by reductive subgroups of maximal rank
Joseph Donin, Vadim Ostapenko
We consider a class of homogeneous manifolds including all semisimple coadjoint orbits. We describe manifolds of that class admitting deformation q uantizations equivariant under t…