{"title":"The Generators and Relations for Little <i>q</i>-Schur Algebra <i>u<sub>k</sub></i>(3,5)","authors":"Mingqiang LIU, Qian YANG","doi":"10.1051/wujns/2023285385","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the presentation for little q -Schur algebra [see formula in PDF] at odd roots. The Poincaré-Birkhoff-Witt (PBW) basis of [see formula in PDF] is obtained through the basis of q -Schur algebra [see formula in PDF]. Then we present a new set for generators and relations for [see formula in PDF] by PBW basis.","PeriodicalId":23976,"journal":{"name":"Wuhan University Journal of Natural Sciences","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Wuhan University Journal of Natural Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1051/wujns/2023285385","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Multidisciplinary","Score":null,"Total":0}
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Abstract
In this paper, we investigate the presentation for little q -Schur algebra [see formula in PDF] at odd roots. The Poincaré-Birkhoff-Witt (PBW) basis of [see formula in PDF] is obtained through the basis of q -Schur algebra [see formula in PDF]. Then we present a new set for generators and relations for [see formula in PDF] by PBW basis.
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Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.
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