Representations of Non-standard Quantum Groups

GAO Feng-xia; YANG Shi-lin

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Representations of Non-standard Quantum Groups

GAO Feng-xia,YANG Shi-lin *

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

*Correspondence author

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Funding: Specialized Research for the Doctoral Program of Higher Education of China （No.No.20111103110011）

Opened online:18 December 2015

Accepted by: none

Citation: GAO Feng-xia,YANG Shi-lin.Representations of Non-standard Quantum Groups[OL]. [18 December 2015] http://en.paper.edu.cn/en_releasepaper/content/4670722

It is noted that a class of non-standard quantum group $X_q(A_n)$ was introduced by some mathematicians in 1990$^prime$s. In paper we give a classification of the finite-dimensional irreducible representations of $X_q(A_2)$ and describe explicitly the basis and structure of each isomorphic class.

Keywords:Quantum group; highest weight; highest weight vector; $U_q(sl_2)$-module.

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