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Czechoslovak Journal of Physics
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arXiv.org e-Print Archive
Preprint . 2000
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Czechoslovak Journal of Physics
Article . 2000 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2000
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The algebraic structure of the Onsager algebra

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2000Embargo end date: 01 Jan 2000 English Publisher:Springer Science and Business Media LLCJournal:Czechoslovak Journal of Physics, volume 50, pages 37-44 (issn: 0011-4626, eissn: 1572-9486, Copyright policy )
Authors: Shi-shyr Roan; Etsuro Date;

doi: 10.1023/a:1022812728907 , 10.48550/arxiv.cond-mat/0002418

arXiv: http://arxiv.org/abs/cond-mat/0002418

The algebraic structure of the Onsager algebra

Abstract

We study the Lie algebra structure of the Onsager algebra from the ideal theoretic point of view. A structure theorem of ideals in the Onsager algebra is obtained with the connection to the finite-dimensional representations. We also discuss the solvable algebra aspect of the Onsager algebra through the formal Lie algebra theory.

7 pages, Latex; Contribution to the 8th Colloquium "Quantum groups and integrable systems", held at Prague, 17-19 June 1999

Related Organizations
Keywords

finite-dimensional representations, Statistical Mechanics (cond-mat.stat-mech), Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Mathematics - Quantum Algebra, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Quantum Algebra (math.QA), FOS: Physical sciences, Onsager algebra, Exactly solvable models; Bethe ansatz, Condensed Matter - Statistical Mechanics

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 16
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Average
Top 10%
Average
Green
bronze