SKEW COPAIRED BIALGEBRAS

Abstract

Let σ : k → A ⊗ B be a skew copairing on (A, B), where A and B are Hopf algebras of the same dimension n. Skew dual bases of A and B are introduced. If σ is an invertible skew copairing then we can give a 2-cocycle bilinear form [σ] on A ⊗ B and define a new Hopf algebra.

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