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Algebraic Structures Related to Racah Doubles

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Lie Theory and Its Applications in Physics (LT 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 191))

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Abstract

InĀ 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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Correspondence to Roy Oste .

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Oste, R., Van der Jeugt, J. (2016). Algebraic Structures Related to Racah Doubles. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2015. Springer Proceedings in Mathematics & Statistics, vol 191. Springer, Singapore. https://doi.org/10.1007/978-981-10-2636-2_43

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