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–Lie Algebras Canonically Associated to Probability Measures on with All Moments Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Algebraic Structures Related to Racah Doubles

Authors : Roy Oste, Joris Van der Jeugt

Published in: Lie Theory and Its Applications in Physics

Publisher: Springer Singapore

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Abstract

In Oste and Van der Jeugt, SIGMA, 12 (2016), [13], we classified all pairs of recurrence relations connecting two sets of Hahn, dual Hahn or Racah polynomials of the same type but with different parameters. We examine the algebraic relations underlying the Racah doubles and find that for a special case of Racah doubles with specific parameters this is given by the so-called Racah algebra.

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previous chapter About Filiform Lie Algebras of Order 3
next chapter A Note on Strongly Graded Lie Algebras
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Metadata
Title
Algebraic Structures Related to Racah Doubles
Authors
Roy Oste
Joris Van der Jeugt
Copyright Year
2016
Publisher
Springer Singapore
Book
Lie Theory and Its Applications in Physics

Print ISBN: 978-981-10-2635-5

Electronic ISBN: 978-981-10-2636-2

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-981-10-2636-2_43

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