충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제16권1호
  • /
  • Pages.81-96
  • /
  • 2003
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

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)
  • 투고 : 2003.06.19
  • 발행 : 2003.06.30
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초록

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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