Graded Satake diagrams and super-symmetric pairs
Quantum Algebra
2026-05-25 v2
Abstract
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 subalgebra. We classify the corresponding Satake-type diagrams and prove that each of them defines a family of proper spherical subalgebras.
Keywords
Cite
@article{arxiv.2604.03394,
title = {Graded Satake diagrams and super-symmetric pairs},
author = {D. Algethami and A. Mudrov and V. Stukopin},
journal= {arXiv preprint arXiv:2604.03394},
year = {2026}
}
Comments
34 pages Signs are corrected in a couple of places (pp 12,17), a parity corrected in left diagram (3.11) and missing case of gl(1|1) added. Some details and improvements added here and there throughout the text