{"title":"量子超球对","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":"{\"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}","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}
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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