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Vertex Operator of $U_q(\widehat{B_l})$ for Level One

Bai-Qi Jin·Shan-You Zhou
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Abstract

In this paper,we give the explicit formulae of vertex operators of ${U_q}(\widehat{B}_l)$ for level-one as operators on the Fock space. Meanwhile, we point out that the free field realization (by one fermionic field and $l$ bosonic fields) of highest weight module with highest weight $Λ_l$ has two irreducible modules.

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BibTeXRIS

Bai-Qi Jin, Shan-You Zhou. 1995-12-13. Vertex Operator of $U_q(\widehat{B_l})$ for Level One. https://arxiv.org/abs/q-alg/9512005

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