{"title":"Quantum super-spherical pairs","authors":"D. Algethami, A. Mudrov, V. Stukopin","doi":"arxiv-2407.19477","DOIUrl":null,"url":null,"abstract":"We introduce quantum super-spherical pairs as coideal subalgebras in general\nlinear and orthosymplectic quantum supergroups. These subalgebras play a role\nof isotropy subgroups for matrices solving $\\mathbb{Z}_2$-graded reflection\nequation. They generalize quantum (pseudo)-symmetric pairs of\nLetzter-Kolb-Regelskis-Vlaar.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"74 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Quantum Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.19477","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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 matrices solving $\mathbb{Z}_2$-graded reflection
equation. They generalize quantum (pseudo)-symmetric pairs of
Letzter-Kolb-Regelskis-Vlaar.
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