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Funktsional. Anal. i Prilozhen., 2003, Volume 37, Issue 2, Pages 1–6 (Mi faa143)  

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

A. A. Belavina, M. Jimbob

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

DOI: https://doi.org/10.4213/faa143

Full text: PDF file (111 kB)
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English version:
Functional Analysis and Its Applications, 2003, 37:2, 81–85

Bibliographic databases:

UDC: 517.958
Received: 08.09.2002

Citation: A. A. Belavin, M. Jimbo, “Central Elements of the Elliptic Yang–Baxter Algebra at Roots of Unity”, Funktsional. Anal. i Prilozhen., 37:2 (2003), 1–6; Funct. Anal. Appl., 37:2 (2003), 81–85

Citation in format AMSBIB
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  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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