A simple construction of elliptic \(R\)-matrices
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Publication:1338932
DOI10.1007/BF00739425zbMath0806.17020arXivhep-th/9402011OpenAlexW1487278211MaRDI QIDQ1338932
Vincent Pasquier, Giovanni Felder
Publication date: 20 December 1994
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9402011
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (12)
Elliptic K-matrix associated with Belavin's symmetric R-matrix ⋮ Vertex-IRF correspondence and factorized \(L\)-operators for an elliptic \(R\)-operator ⋮ Topics in quantum integrable systems ⋮ A new dynamical reflection algebra and related quantum integrable systems ⋮ On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials ⋮ Simple construction of the elliptic boundary \(K\)-matrix ⋮ Boundary \(K\)-operator for the elliptic \(R\)-operator acting on functional space. ⋮ Generating functions for the coefficients of the Cremmer-Gervais \(R\)-matrices ⋮ Classification of R-operators ⋮ Ruijsenaars’ commuting difference operators and invariant subspace spanned by theta functions ⋮ Elliptic Dunkl operators, root systems, and functional equations ⋮ Nonstandard representations of type \(C\) affine Hecke algebra from \(K\)-operators.
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