5 papers
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…
Graded Satake diagrams and super-symmetric pairs
D. Algethami, A. Mudrov, V. Stukopin
We list classical spherical subalgebras in basic matrix Lie superalgebras which are quantizable to coideal subalgebras in the standard quantum supergroups, for any choice of Borel…
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.
Quantum symmetric conjugacy classes of non-exceptional groups
Dakhilallah Algethami, Andrey Mudrov
We evaluate one-dimensional representations of quantum symmetric conjugacy classes of classical matrix groups along with their quantum stabilizer subgroups.