Mathematics > Quantum Algebra
arXiv:2604.03394 (math)
[Submitted on 3 Apr 2026 (v1), last revised 22 May 2026 (this version, 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.
| 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 |
| Subjects: | Quantum Algebra (math.QA) |
| Cite as: | arXiv:2604.03394 [math.QA] |
| (or arXiv:2604.03394v2 [math.QA] for this version) | |
| https://doi.org/10.48550/arXiv.2604.03394 arXiv-issued DOI via DataCite |
Submission history
From: Andrey Mudrov [view email]
[v1]
Fri, 3 Apr 2026 18:53:36 UTC (31 KB)
[v2]
Fri, 22 May 2026 11:39:21 UTC (32 KB)
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