The \(q\)-Onsager algebra and the quantum torus

DOI10.1016/J.JCTA.2024.105939MaRDI QIDQ6612128

Owen Goff

Publication date: 30 September 2024

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

quantum torus\(q\)-Onsager algebra\(q\)-Dolan-Grady relationalternating central extension

Mathematics Subject Classification ID

Groups and algebras in quantum theory (81Rxx) Lie algebras and Lie superalgebras (17Bxx) Algebraic combinatorics (05Exx)

Cites Work

• Title not available (Why is that?)
• The subconstituent algebra of an association scheme. III
• Generalized \(q\)-Onsager algebras and boundary affine Toda field theories
• Deformed Dolan-Grady relations in quantum integrable models
• A new (in)finite-dimensional algebra for quantum integrable models
• A new current algebra and the reflection equation
• Sine-Gordon quantum field theory on the half-line with quantum boundary degrees of freedom
• The \(q\)-Onsager algebra and its alternating central extension
• Braid group action for the \(q\)-Onsager algebra
• A conjecture concerning the \(q\)-Onsager algebra
• The alternating central extension of the \(q\)-Onsager algebra
• Some algebra related to \(P\)- and \(Q\)-polynomial association schemes
• Two relations that generalize the \(q\)-Serre relations and the Dolan-Grady relations.
• The central extension of the reflection equations and an analog of Miki’s formula
• TD-pairs and the $q$-Onsager algebra
• MODULES OVER QUANTUM LAURENT POLYNOMIALS
• The compact presentation for the alternating central extension of the \(q\)-Onsager algebra

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