TY - JOUR

T1 - Solutions of the functional tetrahedron equation connected with the local Yang-Baxter equation for the ferro-electric condition

AU - Sergeev, S. M.

PY - 1998/7/2

Y1 - 1998/7/2

N2 - A local (or modified) Yang-Baxter equation (LYBE) gives a functional map from the parameters of the weights in the left-hand side to the parameters of the corresponding weights in the right-hand side of the LYBE. Such maps solve the functional tetrahedron equation. In this Letter, all the maps associated with LYBE's of the ferro-electric type with a single parameter in each weight matrix are classified.

AB - A local (or modified) Yang-Baxter equation (LYBE) gives a functional map from the parameters of the weights in the left-hand side to the parameters of the corresponding weights in the right-hand side of the LYBE. Such maps solve the functional tetrahedron equation. In this Letter, all the maps associated with LYBE's of the ferro-electric type with a single parameter in each weight matrix are classified.

KW - tetrahedron equation

KW - 2 + 1 integrability

KW - local Yang-Baxter equation

UR - http://www.scopus.com/inward/record.url?scp=0000101463&partnerID=8YFLogxK

U2 - 10.1023/A:1007483621814

DO - 10.1023/A:1007483621814

M3 - Article

AN - SCOPUS:0000101463

SN - 0377-9017

VL - 45

SP - 113

EP - 119

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 2

ER -