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arxiv: q-alg/9512005 · v2 · submitted 1995-12-05 · q-alg · math.QA

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

classification q-alg math.QA
keywords fieldhighestoperatorsvertexweightwidehatbosonicexplicit
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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 $\Lambda_l$ has two irreducible modules.

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