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Funktsional'nyi Analiz i ego Prilozheniya, 2003, Volume 37, Issue 2, Pages 1–6
DOI: https://doi.org/10.4213/faa143 (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
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DOI: https://doi.org/10.4213/faa143
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.
Received: 08.09.2002
English version:
Functional Analysis and Its Applications, 2003, Volume 37, Issue 2, Pages 81–85
DOI: https://doi.org/10.1023/A:1024403505204
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
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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