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arxiv: q-alg/9712014 · v1 · submitted 1997-12-03 · q-alg · math.QA

Commutation relations of vertex operators related with the spin representation of U_q(D_n⁽¹⁾)

classification q-alg math.QA
keywords spincommutationrelationsrepresentationoperatorsquantumrelatedvertex
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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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