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math.QAJul 1, 2003
18
citations (OpenAlex)
authors
  • Zoltan Nagy
  • Jean Avan
  • Genevieve Rollet
institutions
  • Centre National de la Recherche Scientifique
  • Laboratoire de Physique Théorique et Modélisation
  • Université de Cergy-Pontoise
arXiv abstractPDF
paper

Construction of dynamical quadratic algebras

arXiv:math/0307026 · doi:10.1023/B:MATH.0000027750.79927.a8

Abstract

We propose a dynamical extension of the quantum quadratic exchange algebras introduced by Freidel and Maillet. It admits two distinct fusion structures. A simple example is provided by the scalar Ruijsenaars-Schneider model.

LaTeX, 13 pages, no figures Important changes. Changed the title. Added an example and a theorem on fusion on the quantum space. To appear in LMP

References in corpus (1)

  • Quantum dynamical Yang-Baxter equation over a nonabelian base

Cited by in corpus (10)

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  • Commuting quantum traces for quadratic algebras
  • Spin chains from dynamical quadratic algebras
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  • Parametrization of semi-dynamical quantum reflection algebra
  • Associative Yang-Baxter equation for quantum (semi-)dynamical R-matrices
  • On the classical r-matrix structure of the rational BC(n) Ruijsenaars-Schneider-van Diejen system
  • On the semi-dynamical reflection equation: solutions and structure matrices
  • Dynamical reflection equation
  • On Calogero-Francoise-type Lax matrices and their dynamical r-matrices
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