Central Elements of the Elliptic Yang--Baxter Algebra at Roots of Unity
Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 2, pp. 1-6
Voir la notice de l'article provenant de la source Math-Net.Ru
We give central elements of the Yang–Baxter algebra for the $R$-matrix of the eight-vertex model for the case in which the crossing parameter is a rational multiple of one of the periods.
Keywords:
eight-vertex model, Yang–Baxter algebra, center, Baxter intertwining vector.
Mots-clés : $R$-matrix
Mots-clés : $R$-matrix
@article{FAA_2003_37_2_a0,
author = {A. A. Belavin and M. Jimbo},
title = {Central {Elements} of the {Elliptic} {Yang--Baxter} {Algebra} at {Roots} of {Unity}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {1--6},
publisher = {mathdoc},
volume = {37},
number = {2},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2003_37_2_a0/}
}
TY - JOUR AU - A. A. Belavin AU - M. Jimbo TI - Central Elements of the Elliptic Yang--Baxter Algebra at Roots of Unity JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 2003 SP - 1 EP - 6 VL - 37 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_2003_37_2_a0/ LA - ru ID - FAA_2003_37_2_a0 ER -
A. A. Belavin; M. Jimbo. Central Elements of the Elliptic Yang--Baxter Algebra at Roots of Unity. Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 2, pp. 1-6. http://geodesic.mathdoc.fr/item/FAA_2003_37_2_a0/