Classification of bicovariant differential calculi over free orthogonal Hopf algebras
De Chanvalon, Manon Thibault
Original · EN
We show that if two Hopf algebras are monoidally equivalent, then their categories of bicovariant differential calculi are equivalent. We then classify, for q ∈ C* not a root of unity, the finite dimensional bicovariant differential calculi over the Hopf algebra Oq(SL₂). Using a monoidal equivalence between free orthogonal Hopf algebras and Oq(SL₂) for a given q, this leads us to the classification of finite dimensional bicovariant differential calculi over free orthogonal Hopf algebras.
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