English

Commutation relations of vertex operators related with the spin representation of $U_q(D_n^{(1)})$

q-alg 2007-05-23 v1 Quantum Algebra

Abstract

We calculate commutation relations of vertex operators for the spin representation of Uq(Dn(1))U_q(D_n^{(1)}) by using recursive formulae of R-matrices. In quantum symmetry approach, we obtain the energy and momentum spectrum of the quantum spin chain model related with the spin representation from these commutation relations.

Keywords

Cite

@article{arxiv.q-alg/9712014,
  title  = {Commutation relations of vertex operators related with the spin representation of $U_q(D_n^{(1)})$},
  author = {Yoshiyuki Koga},
  journal= {arXiv preprint arXiv:q-alg/9712014},
  year   = {2007}
}

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39 pages amslatex