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

CHENG Cheng; YANG Shilin

doi:10.11936/bjutxb2016090035

Journal of Beijing University of Technology > 2017 > 43(10): 1604-1608. > DOI: 10.11936/bjutxb2016090035

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

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Weak Hopf Algebras Corresponding to the A_n Non-standard Deformation

College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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Received Date: September 12, 2016
Available Online: August 03, 2022
Published Date: October 09, 2017

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Abstract

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 $\mathfrak{m}{{X}_{q}}$ (A_n) was obtained. Moreover, the structure of $\mathfrak{m}{{X}_{q}}$ (A_n) was discussed and the Ext quivers of $\mathfrak{m}{{X}_{q}}$ (A_n) was given.
- non-standard quantum group,
- weak Hopf algebra,
- Ext quiver

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Weak Hopf Algebras Corresponding to the A_n Non-standard Deformation