Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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SKEW COPAIRED BIALGEBRAS

  • Park, Jun Seok (Department of Mathematics College of Natural Sciences, Hoseo University) ;
  • Cho, Myung Sang (Department of Mathematics College of Natural Sciences, Hoseo University)
  • Received : 2003.06.19
  • Published : 2003.06.30
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Abstract

Let ${\sigma}:k{\rightarrow}A{\otimes}B$ 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 ${\sigma}$ is an invertible skew copairing then we can give a 2-cocycle bilinear form [${\sigma}$] on $A{\otimes}B$ and define a new Hopf algebra.

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