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Spinor Representations of $${U}_q (hat {mathfrak{o}}(N))$$ )

Authors:	DING JINTAI

Affiliation:	(1) RIMS,Kyoto University, Kyoto, 606, Japan

Abstract:	This Letter concerns an extension of the quantum spinor construction of ${U}_q (widehat{mathfrak{g}mathfrak{l}}(n))$ . We define quantum affine Clifford algebras based on the tensor category and the solutions of q-KZ equations, and construct quantum spinor representations of ${text{U}}_q (hat {mathfrak{o}}(N))$ .

Keywords:	quantum group Clifford algebra quantum spinor representation.
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