English

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

q-alg 2008-02-03 v2 Quantum Algebra

Abstract

In this paper,we give the explicit formulae of vertex operators of Uq(B^l){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 ll bosonic fields) of highest weight module with highest weight Λl\Lambda_l has two irreducible modules.

Keywords

Cite

@article{arxiv.q-alg/9512005,
  title  = {Vertex Operator of $U_q(\widehat{B_l})$ for Level One},
  author = {Bai-Qi Jin and Shan-You Zhou},
  journal= {arXiv preprint arXiv:q-alg/9512005},
  year   = {2008}
}

Comments

16 pages, Latex,some mistakes corrected