{"title":"AIII 型 $$\\imath $$ 量子群的不变理论","authors":"Li Luo, Zheming Xu","doi":"10.1007/s11005-024-01790-3","DOIUrl":null,"url":null,"abstract":"<div><p>We develop an invariant theory of quasi-split <span>\\(\\imath \\)</span>quantum groups <span>\\({\\textbf {U}} _n^\\imath \\)</span> of type AIII on a tensor space associated to <span>\\(\\imath \\)</span>Howe dualities. The first and second fundamental theorems for <span>\\({\\textbf {U}} _n^\\imath \\)</span>-invariants are derived.\n</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 2","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Invariant theory of \\\\(\\\\imath \\\\)quantum groups of type AIII\",\"authors\":\"Li Luo, Zheming Xu\",\"doi\":\"10.1007/s11005-024-01790-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We develop an invariant theory of quasi-split <span>\\\\(\\\\imath \\\\)</span>quantum groups <span>\\\\({\\\\textbf {U}} _n^\\\\imath \\\\)</span> of type AIII on a tensor space associated to <span>\\\\(\\\\imath \\\\)</span>Howe dualities. The first and second fundamental theorems for <span>\\\\({\\\\textbf {U}} _n^\\\\imath \\\\)</span>-invariants are derived.\\n</p></div>\",\"PeriodicalId\":685,\"journal\":{\"name\":\"Letters in Mathematical Physics\",\"volume\":\"114 2\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-03-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11005-024-01790-3\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11005-024-01790-3","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Invariant theory of \(\imath \)quantum groups of type AIII
We develop an invariant theory of quasi-split \(\imath \)quantum groups \({\textbf {U}} _n^\imath \) of type AIII on a tensor space associated to \(\imath \)Howe dualities. The first and second fundamental theorems for \({\textbf {U}} _n^\imath \)-invariants are derived.
期刊介绍:
The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.