Nichols Algebras as Braided Hopf Algebras

Given a Hopf algebra H and a Yetter–Drinfeld module V over H, it is well-known that V has an induced braided vector space structure, and so, one can consider it’s Nichols algebra which is a braided Hopf algebra in the braided monoidal category of Yetter–Drinfeld modules over H.

The notion, however, of a Nichols algebra makes sense for any object in any braided monoidal category C. Is it true in general that the Nichols algebra of any object in C will be a braided Hopf algebra in C?


Source : Link , Question Author : Abo Kutis-Felan , Answer Author : Community

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