The Structure of Weak Hopf Algebras Corresponding to U q (sl 2)

The Structure of Weak Hopf Algebras Corresponding to U q (sl 2)
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DOI:
10.1080/00927870802243499
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发表时间:
2009-03
影响因子:
0.7
通讯作者:
D. Cheng;Fang Li
D. Cheng;Fang Li
中科院分区:
数学3区
文献类型:
--
作者:
D. Cheng;Fang Li

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根据弱Hopf代数的代数结构和余代数结构对弱Hopf代数的结构进行了分类.对应于Uq(sl 2)的弱Hopf代数的代数结构可以表示为Uq(sl 2)与一个多项式代数的直和。给出了对应于Uq(sl 2)的弱Hopf代数的余代数结构的分类.这种结构有四种类型。
The structure of weak Hopf algebras corresponding to U q (sl 2) are classified by their algebra structure and coalgebra structure. The algebra structure of weak Hopf algebras corresponding to U q (sl 2) can be written as the direct sum of U q (sl 2) and an algebra of polynomials. The coalgebra structure of weak Hopf algebras corresponding to U q (sl 2) are classified by their Ext quiver. There are four types of such structures.