4 papers · 1 filter
Affine supersymmetric pairs
Andrey Mudrov, Vladimir Stukopin
We classify Satake diagrams for general linear and orthosymplectic non-twisted affine Lie superalgebras and prove that each of them generates a family of proper spherical subalgebr…
Mickelsson algebras and inverse Shapovalov form
Andrey Mudrov, Vladimir Stukopin
Let be an associative algebra containing the classical or quantum universal enveloping algebra of a semi-simple complex Lie algebra. Let $\mathcal{J}\subset \math…
Quantum super-spherical pairs
D. Algethami, A. Mudrov, V. Stukopin
We introduce quantum super-spherical pairs as coideal subalgebras in general linear and orthosymplectic quantum supergroups. These subalgebras play a role of isotropy subgroups for…
Solutions to graded reflection equation of GL-type
D. Algethami, A. Mudrov, V. Stukopin
We list solutions of the graded reflection equation associated with the fundamental vector representation of the quantum supergroup of GL-type.