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

Mathematics – Quantum Algebra

Scientific paper

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39 pages amslatex

Scientific paper

We calculate commutation relations of vertex operators for the spin
representation of $U_q(D_n^{(1)})$ 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.

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