Weak Hopf Algebras Corresponding to the <i>A<sub>n</sub></i> Non-standard Deformation

CHENG Cheng; YANG Shilin

doi:10.11936/bjutxb2016090035

CHENG Cheng, YANG Shilin. Weak Hopf Algebras Corresponding to the An Non-standard Deformation[J]. Journal of Beijing University of Technology, 2017, 43(10): 1604-1608. DOI: 10.11936/bjutxb2016090035

Citation:

CHENG Cheng, YANG Shilin. Weak Hopf Algebras Corresponding to the An Non-standard Deformation[J]. Journal of Beijing University of Technology, 2017, 43(10): 1604-1608. DOI: 10.11936/bjutxb2016090035

Citation:

CHENG Cheng, YANG Shilin. Weak Hopf Algebras Corresponding to the An Non-standard Deformation[J]. Journal of Beijing University of Technology, 2017, 43(10): 1604-1608. DOI: 10.11936/bjutxb2016090035

Weak Hopf Algebras Corresponding to the A_n Non-standard Deformation

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Abstract

Firstly, a non-standard quantum group X_q(A_n) was introduced, and then by replacing the group of grouplike elements of X_q(A_n), a weak Hopf algebra \mathfrakmX_q(A_n) was obtained. Moreover, the structure of \mathfrakmX_q(A_n) was discussed and the Ext quivers of \mathfrakmX_q(A_n) was given.

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Weak Hopf Algebras Corresponding to the An Non-standard Deformation

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Weak Hopf Algebras Corresponding to the A_n Non-standard Deformation