ONSAGER'S ALGEBRA AND PARTIALLY ORTHOGONAL POLYNOMIALS

DOI10.1142/S0217979202011883zbMath1073.82545arXivhep-th/0201195OpenAlexW2012775727MaRDI QIDQ5312076

G. von Gehlen

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0201195

zbMATH Keywords

Onsager's algebraChiral Potts modelIntegrable quantum chains

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Exactly solvable models; Bethe ansatz (82B23)

Related Items

Generating functions of Chebyshev polynomials in three variables ⋮ An integrable structure related with tridiagonal algebras ⋮ Structure of certain Chebyshev-type polynomials in Onsager's algebra representation ⋮ The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra ⋮ The \(q\)-deformed analogue of the Onsager algebra: beyond the Bethe ansatz approach ⋮ The generating function of bivariate Chebyshev polynomials associated with the Lie algebra \(G_2\) ⋮ Gröbner–Shirshov Basis for the Onsager and Tetrahedron Algebras ⋮ The Onsager algebra symmetry of τ^(j)-matrices in the superintegrable chiral Potts model ⋮ On calculation of generating functions of Chebyshev polynomials in several variables

Cites Work

• Spectrum and completeness of the three-state superintegrable chiral Potts model
• The Many Faces of the Chiral Potts Model
• The structure of quotients of the Onsager algebra by closed ideals *
• Interfacial tension of the chiral Potts model
• Onsager's algebra and superintegrability
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition