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Journal of Mathematical Physics
Article . 1979 . Peer-reviewed
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Koornwinder’s polynomials and representations of the conformal group

Koornwinder's polynomials and representations of the conformal group
Authors: Ringhöfer, Klaus;

Koornwinder’s polynomials and representations of the conformal group

Abstract

The tensor product of two massive, spinless, positive-energy ray representations of the conformal group of spacetime SO0(4,2)/Z2 is reduced in a momentum basis. The basis vectors for the irreducible subspaces (the ’’Clebsch–Gordan coefficients’’) are found to be intimately connected with Koornwinder’s polynomials in two dimensions.

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Keywords

Koornwinder's polynomials, Applications of Lie groups to the sciences; explicit representations, representations, tensor product, Connections of hypergeometric functions with groups and algebras, and related topics, conformal group, Clebsch-Gordan coefficients

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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!
0
Average
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