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

Jintai Ding

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

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arxiv q-alg/9510014 v2 pith:5WCYACDA submitted 1995-10-17 q-alg hep-thmath.QA

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

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On the quantum affine vertex algebra associated with trigonometric $R$-matrix
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Restricted modules for the quantum affine algebra in type A are equivalent, with submodule correspondence, to phi-coordinated modules for the Etingof-Kazhdan quantum affine vertex algebra with phi(z2,z0)=z2 e^{z0}.

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