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Hopf Algebras and Root Systems最新文献

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Nichols algebras over non-abelian groups 非abel群上的Nichols代数
Hopf Algebras and Root Systems Pub Date : 2020-06-19 DOI: 10.1090/surv/247/17
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引用次数: 0
Right coideal subalgebras of Nichols systems, and Cartan graph of Nichols algebras Nichols系统的右共理想子代数，以及Nichols代数的Cartan图
Hopf Algebras and Root Systems Pub Date : 2020-06-19 DOI: 10.1090/surv/247/14
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引用次数: 0
The structure of Cartan graphs and root systems 卡坦图的结构与根系
Hopf Algebras and Root Systems Pub Date : 2020-06-19 DOI: 10.1090/surv/247/10
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引用次数: 0
Basic Hopf algebra theory 基本Hopf代数理论
Hopf Algebras and Root Systems Pub Date : 2020-06-19 DOI: 10.1090/surv/247/02
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引用次数: 0
Nichols algebras of diagonal type 对角型的Nichols代数
Hopf Algebras and Root Systems Pub Date : 2011-04-01 DOI: 10.1515/CRELLE-2011-0008
I. Angiono
{"title":"Nichols algebras of diagonal type","authors":"I. Angiono","doi":"10.1515/CRELLE-2011-0008","DOIUrl":"https://doi.org/10.1515/CRELLE-2011-0008","url":null,"abstract":"We give an explicit and essentially minimal list of defining relations of a Nichols algebra of diagonal type with finite root system. This list contains the well-known quantum Serre relations but also many new variations. A conjecture by Andruskiewitsch and Schneider states that any finite-dimensional pointed Hopf algebra over an algebraically closed field of characteristic zero is generated as an algebra by its group-like and skew-primitive elements. As an application of our main result, we prove the conjecture when the group of group-like elements is abelian.","PeriodicalId":432644,"journal":{"name":"Hopf Algebras and Root Systems","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2011-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126897978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 71
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