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

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

1995-12-05

arxiv.org/abs/q-alg/9512005v2

Mathematics

Quantum Algebra

16 pages, Latex,some mistakes corrected

Scientific paper

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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