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Vertex Operator of Uq(Bl) for Level One

Bai-Qi Jin, Shan-You Zhou

q-algarXiv:q-alg/9512005

Abstract

In this paper,we give the explicit formulae of vertex operators of Uq(Bl) 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 Λl has two irreducible modules.

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