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

1997/12/03 by Yoshiyuki Koga, Koga, Yoshiyuki
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9712014

39 pages amslatex

arxiv created 1997/12/03 · openalex publication_date 1997/12/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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