scientific article

zbMath1042.82010arXivhep-th/0104144MaRDI QIDQ2758419

G. von Gehlen, Shih-shyr Roan

Publication date: 2001

Full work available at URL: https://arxiv.org/abs/hep-th/0104144

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zbMATH Keywords

Onsager's algebraFinite-dimensional representations

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of hypergeometric functions (33C90)

Related Items (9)

Chebyshev polynomials for a three-dimensional algebra ⋮ Generating functions of Chebyshev polynomials in three variables ⋮ 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 generating function of bivariate Chebyshev polynomials associated with the Lie algebra \(G_2\) ⋮ Multivariate Chebyshev polynomials in terms of singular elements ⋮ Chebyshev polynomials and the proper decomposition of functions ⋮ 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

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