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Original Articles

The Structure of Weak Hopf Algebras Corresponding to Uq(sl2)

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Pages 729-742 | Received 23 Jun 2006, Published online: 04 Mar 2009
 

Abstract

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.

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

Supported by NNSF of China (10571153); supported by SRF of Henan University of Science and Technology (2006zy007).

Notes

‘No’ means no such bialgebra structure.

Communicated by E. I. Zelmanov.

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