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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 1, Pages 59–74
DOI: https://doi.org/10.4213/faa178 (Mi faa178) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Belavin Elliptic $R$-Matrices and Exchange Algebras

A. V. Odesskii

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/faa178
Abstract: We study Zamolodchikov algebras whose commutation relations are described by Belavin matrices defining a solution of the Yang–Baxter equation (Belavin $R$-matrices). Homomorphisms of Zamolodchikov algebras into dynamical algebras with exchange relations and also of algebras with exchange relations into Zamolodchikov algebras are constructed. It turns out that the structure of these algebras with exchange relations depends substantially on the primitive $n$th root of unity entering the definition of Belavin $R$-matrices.
Received: 10.05.2001
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 1, Pages 49–61
DOI: https://doi.org/10.1023/A:1014430217638
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. V. Odesskii, “Belavin Elliptic $R$-Matrices and Exchange Algebras”, Funktsional. Anal. i Prilozhen., 36:1 (2002), 59–74; Funct. Anal. Appl., 36:1 (2002), 49–61
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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