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International Journal of Mathematics and Mathematical Sciences
Article . 2001 . Peer-reviewed
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Multivariable q‐Hahn polynomials as coupling coefficients for quantum algebra representations

Multivariable \(q\)-Hahn polynomials as coupling coefficients for quantum algebra representations
Authors: Hjalmar Rosengren;

Multivariable q‐Hahn polynomials as coupling coefficients for quantum algebra representations

Abstract

We study coupling coefficients for a multiple tensor product of highest weight representations of the SU(1, 1) quantum group. These are multivariable generalizations of the q‐Hahn polynomials.

Keywords

Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable, QA1-939, Quantum groups (quantized enveloping algebras) and related deformations, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
gold