3 papers
math.QA2026
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…
math.QA2026
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…
math.QA2025
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…