EXTENDED QUANTUM ENVELOPING ALGEBRAS OF (2)
Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 441-465

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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.
DOI : 10.1017/S0017089509005096
Mots-clés : Primary 17B67, Secondary 17B10
ZHIXIANG, WU. EXTENDED QUANTUM ENVELOPING ALGEBRAS OF (2). Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 441-465. doi: 10.1017/S0017089509005096
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