\(\text{sl}(N)\) Onsager's algebra and integrability.
type: Item
instance of: scholarly article
title: \(\text{sl}(N)\) Onsager's algebra and integrability.
zbMATH Open document ID: 1042.82537
DOI: 10.1007/BF02189226
published in: Journal of Statistical Physics
publication date: 2001-01-16T00:00:00Z
review text: The authors introduce an \(\text{sl}(N)\) analogue of Onsager's algebra. This is an infinite dimensional Lie algebra, generated by \(N\) elements, \(e_i\), \(i\in \mathbb Z_N\), subject to the relations \([e_i,[e_i,e_{i\pm 1}]]=e_{i\pm 1}\), and \([e_i,e_j]=0\), if \(i-j\neq\pm 1\). An involution in the \(\text{sl}(N)\) loop algebra is defined and the \(\text{sl}(N)\) Onsager algebra is identified with the corresponding fixed point subalgebra. Finally they construct a certain infinite commutative subalgebra.
Mathematics Subject Classification ID: 82B23
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 82B20
zbMATH DE Number: 1554022
author: Denis Uglov
author: Ivan T. Ivanov
reviewed by: Olaf Ninnemann
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02189226
OpenAlex ID: W2047593281
description: scientific article; zbMATH DE number 1554022