Published December 1999 | Version v1
Journal article

Yang-Baxter Equation on Two-Dimensional Lattice and Some Infinite Dimensional Algebras

  • 1. Laboratoire de Physique Theorique, Faculte des Sciences, Universite Mohammed V, Av.Ibn Batouta, Rabat, Morocco, Faculte des Sciences, Universite Ibram Zohr, Agadir, Morocco and The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
  • 2. Laboratoire de Physique Theorique, Faculte des Sciences, Universite Mohammed V, Av. Ibn Batouta, Rabat, Morocco and The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)

Description

We show that the Yang-Baxter equation is equivalent to the associativity of the algebra generated by non-commuting link operators. Starting from these link operators we build out the (FFZ) algebras, the slq(2) is derived by considering a special combination of the generators of (FFZ) algebra. (Authors)

Additional details

Publishing Information

Journal Title
Acta Physica Slovaca
Journal Volume
49
Journal Issue
6
Journal Page Range
p. 945-957
ISSN
0323-0465
CODEN
APSVCO

INIS

Country of Publication
Slovakia
Country of Input or Organization
Slovakia
INIS RN
31062236
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
FIELD ALGEBRA; QUANTUM FIELD THEORY; QUANTUM GROUPS; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
FIELD THEORIES; SYMMETRY GROUPS

Optional Information

Notes
20 refs., 4 figs.