Some remarks on the construction of quantum symmetric spaces

DOI10.1007/BF00116516zbMath0892.17014arXivmath/9512225MaRDI QIDQ1815373

Mathijs S. Dijkhuizen

Publication date: 27 May 1998

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9512225

zbMATH Keywords

surveyspherical functioncompact quantum groupAskey-Wilson polynomialsquantum symmetric spaceMacdonald's symmetric polynomials

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Harmonic analysis and spherical functions (43A90) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80) Other basic hypergeometric functions and integrals in several variables (33D70)

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Cites Work

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• A family of quantum projective spaces and related $q$-hypergeometric orthogonal polynomials
• The Coradical Filtration for Quantized Enveloping Algebras
• Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group
• A new class of symmetric functions

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