Representations of the q-deformed algebras Uq(so3) and Uq(so5) and q-orthogonal polynomials

DOI10.1063/1.2146192zbMath1111.33008OpenAlexW1564911785MaRDI QIDQ3438723

Alexander V. Rozenblyum

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2146192

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 orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Cites Work

• \(q\)-deformed orthogonal and pseudo-orthogonal algebras and their representations
• Representations of Lie groups and multidimensional special functions
• Quantum deformations of SU(2)
• Krawtchouk Polynomials, a Unification of Two Different Group Theoretic Interpretations

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