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arXiv 2012-01-10 0 views

Finite dimensional Nichols algebras over finite cyclic groups

Wu, Weicai · Zhang, Shouchuan · Zhang, Yao-Zhong

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All finite dimensional Nichols algebras with diagonal type of connected finite dimensional Yetter-Drinfeld modules over finite cyclic group Zₙ are found. It is proved that finite dimensional Nichols algebra over Z₂ is a quantum linear space and Nichols algebra of connected Yetter-Drinfeld module V over Zₙ with V >3 is infinite dimensional.

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