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EXTENDED QUANTUM ENVELOPING ALGEBRAS OF ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20160115092636867-0056:S0017089509005096_char1.gif?pub-status=live)
(2)
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Published online by Cambridge University Press: 01 September 2009
Abstract
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.
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- Research Article
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- Copyright © Glasgow Mathematical Journal Trust 2009
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