The generating function of bivariate Chebyshev polynomials associated with the Lie algebra \(G_2\)

DOI10.1134/S0040577917080025zbMath1384.41020arXiv1610.04155OpenAlexW2624294550WikidataQ115248170 ScholiaQ115248170MaRDI QIDQ1705412

M. A. Sokolov, E. V. Damaskinskiĭ

Publication date: 15 March 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04155

zbMATH Keywords

generating functionbivariate Chebyshev polynomial

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Best approximation, Chebyshev systems (41A50)

Related Items

Generating functions for orthogonal polynomials of \(A_{2}\), \(C_{2}\) and \(G_{2}\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generating functions of Chebyshev polynomials in three variables
• On eigenvalues of rectangular matrices
• Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
• Quantum inverse problem method. I
• On the structure of Brauer's centralizer algebras
• The Kauffman polynomial of links and representation theory
• Around a multivariate Schmidt-Spitzer theorem
• Chebyshev-Koornwinder oscillator
• Multivariate Chebyshev polynomials in terms of singular elements
• Orbit functions
• Models solvable by Bethe ansatz
• Multiplicity function for tensor powers of modules of the \(A_n\) algebra
• The algebra of two dimensional generalized Chebyshev-Koornwinder oscillator
• On Multivariate Chebyshev Polynomials and Spectral Approximations on Triangles
• INTEGRABLE SPIN CHAINS AND REPRESENTATION THEORY
• Chebyshev Polynomials in Several Variables and the Radial Part of the Laplace-Beltrami Operator
• On spin systems related to the Temperley–Lieb algebra
• Generalized Chebyshev Polynomials Associated with Affine Weyl Groups
• Braids, Link Polynomials and a New Algebra
• Multivariate Chebyshev polynomials
• On calculation of generating functions of Chebyshev polynomials in several variables
• ONSAGER'S ALGEBRA AND PARTIALLY ORTHOGONAL POLYNOMIALS
• Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem