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EXTENDED QUANTUM ENVELOPING ALGEBRAS OF (2)

Published online by Cambridge University Press:  01 September 2009

WU ZHIXIANG
WU ZHIXIANG*
Affiliation:
Mathematics Department, Zhejiang University, Hangzhou 310027, P.R. China e-mail: wzx@zju.edu.cn
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Abstract

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In present paper we define a new kind of quantized enveloping algebra of (2). We denote this algebra by Ur,t, where r, t are two non-negative integers. It is a non-commutative and non-cocommutative Hopf algebra. If r = 0, then the algebra Ur,t is isomorphic to a tensor product of the algebra of infinite cyclic group and the usual quantum enveloping algebra of (2) as Hopf algebras. The representation of this algebra is studied.

Keywords

Primary 17B67Secondary 17B10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 3 , September 2009 , pp. 441 - 465
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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