Matrix elements of irreducible representations of ${SU}(2)\times{SU}(2)$ and vector-valued orthogonal polynomials

Koornwinder, T.H.

1985

Matrix elements of irreducible representations of ${SU}(2)\times{SU}(2)$ and vector-valued orthogonal polynomials

SIAM Journal on Mathematical Analysis , Volume 16 - Issue 3 p. 602- 613

The matrix elements of irreducible representations of ${SU}(2)\times{SU}(2)$ in a diag$({SU}(2)\times{SU}(2))$-basis are expressed in terms of vector-valued orthogonal polynomials, which generalize the Jacobi polynomials.

Additional Metadata
MSC	Representations of Lie and linear algebraic groups over real fields: analytic methods (msc 22E45), Compact groups (msc 22C05), Applications of Lie groups to physics; explicit representations (msc 22E70)
Publisher	S.I.A.M.
Journal	SIAM Journal on Mathematical Analysis
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Koornwinder, T. H. (1985). Matrix elements of irreducible representations of ${SU}(2)\times{SU}(2)$ and vector-valued orthogonal polynomials. SIAM Journal on Mathematical Analysis, 16(3), 602–613.

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