{"title":"$RLL$-Realization and Its Hopf Superalgebra Structure of $U_{p, q}(\\widehat\\mathfrak{gl}(m|n))}$","authors":"Naihong Hu, Naihuan Jing, Xin Zhong","doi":"arxiv-2407.00406","DOIUrl":null,"url":null,"abstract":"We establish the realization of the Reshetikhin-Semenov-Tian-Shansky (RS)\nsuperalgebra for two parameter quantum affine superalgebra $U_{p,\nq}(\\widehat{\\mathfrak{gl}(m|n))}$. We find a simple coproduct for the Drinfeld\ngenerators and obtain a Hopf superalgebra structure for this quantum affine\nsuperalgebra.","PeriodicalId":501317,"journal":{"name":"arXiv - MATH - Quantum Algebra","volume":"17 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"$RLL$-Realization and Its Hopf Superalgebra Structure of $U_{p, q}(\\\\widehat{\\\\mathfrak{gl}(m|n))}$\",\"authors\":\"Naihong Hu, Naihuan Jing, Xin Zhong\",\"doi\":\"arxiv-2407.00406\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish the realization of the Reshetikhin-Semenov-Tian-Shansky (RS)\\nsuperalgebra for two parameter quantum affine superalgebra $U_{p,\\nq}(\\\\widehat{\\\\mathfrak{gl}(m|n))}$. We find a simple coproduct for the Drinfeld\\ngenerators and obtain a Hopf superalgebra structure for this quantum affine\\nsuperalgebra.\",\"PeriodicalId\":501317,\"journal\":{\"name\":\"arXiv - MATH - Quantum Algebra\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-29\",\"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-2407.00406\",\"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-2407.00406","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
$RLL$-Realization and Its Hopf Superalgebra Structure of $U_{p, q}(\widehat{\mathfrak{gl}(m|n))}$
We establish the realization of the Reshetikhin-Semenov-Tian-Shansky (RS)
superalgebra for two parameter quantum affine superalgebra $U_{p,
q}(\widehat{\mathfrak{gl}(m|n))}$. We find a simple coproduct for the Drinfeld
generators and obtain a Hopf superalgebra structure for this quantum affine
superalgebra.
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