Acta mathematica scientia,Series A

• Articles • Previous Articles     Next Articles

On (f,τ)-Compatible Hopf Algebra Pair (B,H)

Zhao Wenzheng   

  1. Department of Mathematics, Henan Normal University, Xinxiang 453007
  • Received:2005-02-16 Revised:2006-01-14 Online:2007-02-25 Published:2007-02-25
  • Contact: Zhao Wenzheng

Abstract: In this paper, the author defines (f,τ)-compatible Hopf algebra pair (B, H).
Using such a pair (B,H), the author obtains a new braided monoidal
category, which is a submonoidal category of left H-comodules category HM, and obtains a kind of new quantum Yang-Baxt operators. The author also constructs a Hopf algebra in the Yetter-Drinfeld category HHYD$ by twisting the multiplication of B.

Key words: Yetter-Drifeld category, Coquasitriangular Hopf algebra,
Quantum Yang-Baxter operator

CLC Number: 

  • 16W30
Trendmd