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 -