The vertex-face correspondence and the elliptic \(6j\)-symbols
type: Item
instance of: scholarly article
title: The vertex-face correspondence and the elliptic \(6j\)-symbols
zbMATH Open document ID: 1083.33012
author: Hitoshi Konno
published in: Letters in Mathematical Physics
publication date: 2005-11-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0503725
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 82B23
zbMATH DE Number: 2228438
zbMATH Keywords: elliptic quantum groups
zbMATH Keywords: elliptic hypergeometric series
MaRDI profile type: Publication
OpenAlex ID: W3104589679
arXiv ID: math/0503725
cites work: Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
cites work: Universal exchange algebra for Bloch waves and Liouville theory
cites work: Eight-vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain. I: Some fundamental eigenvectors.
cites work: \((Z_ N\times\;)^{n-1}\) generalization of the chiral Potts model
cites work: Elliptic quantum groups
cites work: Q3123464
cites work: L-operator for Belavin’s R-matrix acting on the space of theta functions
cites work: Quasi-Hopf twistors for elliptic quantum groups
cites work: Elliptic algebra \(U_{q,p} (\widehat {\mathfrak {sl}}_2)\): Drinfeld currents and vertex operators
cites work: Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
cites work: An elliptic algebra \(U_{q,p}(\widehat{\text{sl}_2})\) and the fusion RSOS model
cites work: Fusion of Baxter's elliptic \(R\)-matrix and the vertex-face correspondence
cites work: Free field construction for correlation functions of the eight-vertex model
cites work: Yang-Baxter equation for broken \(Z^{\otimes n-1}_N\) models
cites work: An elementary approach to \(6j\)-symbols (classical, quantum, rational, trigonometric, and elliptic)
cites work: Q4663128
cites work: Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
cites work: Generalized eigenvalue problem and a new family of rational functions biorthogonal on elliptic grids.
cites work: Q4781488
cites work: Bethe ansatz for higher spin eight-vertex models
DOI: 10.1007/S11005-005-7647-7
description: scientific article