Spinor Representations of $U_q(\widehat{\mathfrak{g}l}(n))$ and Quantum Boson-Fermion Correspondence

Abstract

This is an extension of quantum spinor construction in \cite{DF2}. We define quantum affine Clifford algebras based on the tensor category and the solutions of q-KZ equations, construct quantum spinor representations of $U_q(\widehat{\mathfrak{g}l}(n))$ and explain classical and quantum boson-fermion correspondence.

arXiv comment29 pages, amstex. This is part of the dissertation of the author submitted to Yale University, May 1995. Minor changes have been made

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