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Nichols algebras over weak Hopf algebras

Nichols algebras over weak Hopf algebras
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摘要 In this paper, we study a Yetter-Drinfeld module V over a weak Hopf algebra H.Although the category of all left 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 H, and a series of weak Hopf algebras. Some results of [8] are generalized. In this paper, we study a Yetter-Drinfeld module V over a weak Hopf algebra H.Although the category of all left 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 H, and a series of weak Hopf algebras. Some results of [8] are generalized.
作者 WU Zhi-xiang
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2018年第1期107-126,共20页 高校应用数学学报(英文版)(B辑)
基金 Supported by ZJNSF(LY17A010015,LZ14A010001) NNSF(11171296),CSC
关键词 quantum enveloping algebra Nichols algebra weak Hopf algebra quantum enveloping algebra Nichols algebra weak Hopf algebra
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