16 citations · 42 across the 9 of their papers we have counts for
8 papers · 1 filter
Graded twisted reflection matrices of GL-type
D. Algethami, A. Mudrov
We classify constant numerical solutions of the -graded twisted reflection equation for the fundamental -type R-matrix and an arbitrary parity sequence, without assuming…
R-matrix via Hasse diagrams
Nikita Kryazhevskikh, Andrey Mudrov, Vladimir Stukopin
We calculate the R-matrix for the exceptional Lie superalgebra in the smallest representation of its quantum supergroup, using a method of Hasse diagrams.
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…
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.
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…