A. A. Belavin, M. Jimbo, “Central Elements of the Elliptic Yang–Baxter Algebra at Roots of Unity”, Funktsional. Anal. i Prilozhen., 2003, Volume 37, Issue 2,Pages <nobr>1

Central Elements of the Elliptic Yang–Baxter Algebra at Roots of Unity

A. A. Belavin^a, M. Jimbo^b

^a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
^b University of Tokyo

Abstract: 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, $R$-matrix, Yang–Baxter algebra, center, Baxter intertwining vector.

UDC: 517.958

Received: 08.09.2002

DOI: 10.4213/faa143