Nichols algebras over weak Hopf algebras |
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Authors: | Zhi-xiang Wu |
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Institution: | 1.School of Mathematical Science,Zhejiang University,Hangzhou,China |
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Abstract: | 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. |
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