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Applied Mathematics-A Journal of Chinese Universities  2018, Vol. 33 Issue (1): 107-126    DOI: 10.1007/s11766-018-3327-0
    
Nichols algebras over weak Hopf algebras
WU Zhi-xiang
School of Mathematical Science, Zhejiang University, Hangzhou 310027, China
Nichols algebras over weak Hopf algebras
WU Zhi-xiang
School of Mathematical Science, Zhejiang University, Hangzhou 310027, China
 全文: PDF 
摘要： In this paper, we study a Yetter-Drinfeld module $V$ over a weak Hopf algebra $\mathbb{H}$. Although the category of all left $\mathbb{H}$-modules is not a braided tensor category, we can define a Yetter-Drinfeld module. Using this Yetter-Drinfeld modules $V$, we construct Nichols algebra $B(V)$ over the weak Hopf algebra $\mathbb{H}$, and a series of weak Hopf algebras. Some results of [8] are generalized.}
关键词： quantum enveloping algebra;  Nichols algebra;  weak Hopf algebra    
Abstract: In this paper, we study a Yetter-Drinfeld module $V$ over a weak Hopf algebra $\mathbb{H}$. Although the category of all left $\mathbb{H}$-modules is not a braided tensor category, we can define a Yetter-Drinfeld module. Using this Yetter-Drinfeld modules $V$, we construct Nichols algebra $B(V)$ over the weak Hopf algebra $\mathbb{H}$, and a series of weak Hopf algebras. Some results of [8] are generalized.}
Key words: quantum enveloping algebra    Nichols algebra    weak Hopf algebra
收稿日期: 2014-10-16 出版日期: 2018-03-28
CLC:  17B37  
基金资助: Supported by ZJNSF (LY17A010015, LZ14A010001), and NNSF(11171296), CSC
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引用本文:

WU Zhi-xiang. Nichols algebras over weak Hopf algebras[J]. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(1): 107-126.

WU Zhi-xiang. Nichols algebras over weak Hopf algebras. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(1): 107-126.

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http://www.zjujournals.com/amjcub/CN/10.1007/s11766-018-3327-0    或    http://www.zjujournals.com/amjcub/CN/Y2018/V33/I1/107

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