• Corpus ID: 245986324

Pivotality, twisted centres and the anti-double of a Hopf monad

  title={Pivotality, twisted centres and the anti-double of a Hopf monad},
  author={Sebastian Halbig and Tony Zorman},
Abstract. Finite-dimensional Hopf algebras admit a correspondence between so-called pairs in involution, one-dimensional anti-Yetter–Drinfeld modules and algebra isomorphisms between the Drinfeld and anti-Drinfeld double. We extend it to general rigid monoidal categories and provide a monadic interpretation under the assumption that certain coends exist. Hereto we construct and study the anti-Drinfeld double of a Hopf monad. As an application the connection with the pivotality of Drinfeld… 

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