Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (3): 608-616.

• Articles • Previous Articles     Next Articles

Classification of Weak  Hopf Algebras Corresponding to {\boldmath Uq(sln)

 CHENG Dong-Ming   

  1. School of Mathematics and Statistics, Henan University of Science and Technology, Henan |Luoyang 471003
  • Received:2010-10-20 Revised:2011-09-28 Online:2012-06-25 Published:2012-06-25
  • Supported by:

    国家自然科学基金(10571153)、 河南科技大学科研基金(2006zy007)和河南科技大学博士科研启动基金(09001213)资助

Abstract:

Weak Hopf algebras corresponding to Uq(sln) constructed by different types of weak extensions have different structures, which are classified by their algebra structures and coalgebra structures. The algebra structures of weak Hopf algebras corresponding to Uq(sln) can be written as a direct sum of Uq(sln) and  algebras of polynomials. The coalgebra structures of weak Hopf algebras corresponding to Uq(sln) are classified by their Ext quivers.

Key words: Weak Hopf algebra, Classification, Decomposition, Ext quiver

CLC Number: 

  • 16W30
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