Spinor Representations of $U_q(\hat{\frak gl}(n))$ and Quantum Boson-Fermion Correspondence

Physics – High Energy Physics – High Energy Physics - Theory

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29 pages, amstex. This is part of the dissertation of the author submitted to Yale University, May 1995. Minor changes have be

Scientific paper

10.1007/s002200050535

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 $U_q(\hat{\frak
gl}(n))$ and explain classical and quantum boson-fermion correspondence.

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