Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (6): 1572-1579.

• Articles • Previous Articles     Next Articles

Ore Extensions of Quasitriangular Hopf Algebras

  

  1. Department of Mathematics, Taizhou College, Nanjing Normal University, Jiangsu Taizhou 225300
  • Received:2007-12-19 Revised:2008-10-20 Online:2009-12-25 Published:2009-12-25
  • Supported by:

    国家自然科学基金(10771182)资助

Abstract:

In this paper, a certain Ore extensions of quasitriangular Hopf algebras are considered. And the necessary and
sufficient conditions for the Ore extensions of quasitriangular Hopf algebras to be quasitriangular with the same R-structures are also given. Finally, as an application, the Ore extensions of Sweedler Hopf algebra and Lusztig small quantum group are discussed.

Key words: Quasitriangular Hopf algebra, Ore extension, Hopf Ore extension, Quantum group

CLC Number: 

  • 16W30
Trendmd