The q-Laplace operator and q-harmonic polynomials on the quantum vector space

DOI10.1063/1.1343092zbMath1023.33015OpenAlexW2051660256MaRDI QIDQ2774838

A. U. Klimyk, N. Z. Iorgov

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1343092

zbMATH Keywords

spherical harmonicsseparation of variables\(q\)-derivatives\(q\)-deformed algebra\(q\)-harmonic polynomials\(q\)-Laplace operatorquantum vector space

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Basic hypergeometric functions (33D99)

Related Items (4)

Center of the universal Askey-Wilson algebra at roots of unity ⋮ On a generalization of the Rogers generating function ⋮ Representations of the q-deformed algebra Uq′(so4) ⋮ Finite-dimensional irreducible modules of the universal Askey-Wilson algebra

Cites Work

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