Vertex ring-indexed Lie algebras

DOI10.1016/j.physletb.2005.06.033zbMath1247.81173arXivhep-th/0505053OpenAlexW2059121837MaRDI QIDQ451761

David B. Fairlie, Cosmas K. Zachos

Publication date: 23 September 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0505053

zbMATH Keywords

Onsager algebraEisenstein integer triangular lattice

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (2)

Ternary Virasoro-Witt algebra ⋮ Sylvester-'t Hooft generators and relations between them for \(\mathfrak{sl}(n)\) and \(\mathfrak{gl}(n| n)\)

Cites Work

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• Infinite-dimensional algebras, sine brackets, and SU(\(\infty)\)
• Conformal field theories, representations and lattice constructions
• \(sl(N)\) Onsager's algebra and integrability
• DIFFEOMORPHISM GROUPS, QUANTIZATION, AND SU(∞)
• Algebraic rings of integers and some 2D lattice problems in physics
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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