{"title":"On Poincaré–Birkhoff–Witt basis of the quantum general linear superalgebra","authors":"A. V. Razumov","doi":"10.1134/s0040577923120115","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We give a detailed derivation of the commutation relations for the Poincaré–Birkhoff–Witt generators of the quantum superalgebra <span>\\(\\mathrm U_q(\\mathfrak{gl}_{M|N})\\)</span>. </p>","PeriodicalId":797,"journal":{"name":"Theoretical and Mathematical Physics","volume":"37 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2023-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theoretical and Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1134/s0040577923120115","RegionNum":4,"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}
引用次数: 0
Abstract
We give a detailed derivation of the commutation relations for the Poincaré–Birkhoff–Witt generators of the quantum superalgebra \(\mathrm U_q(\mathfrak{gl}_{M|N})\).
期刊介绍：
Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems.
Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.
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