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Algebraic structures related to Racah doubles

Roy Oste (UGent) and Joris Van der Jeugt (UGent)
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Abstract
In a previous paper, 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.
Keywords
Racah polynomials, quadratic algebra

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MLA
Oste, Roy, and Joris Van der Jeugt. “Algebraic Structures Related to Racah Doubles.” Lie Theory and Its Applications in Physics, edited by Vladimir Dobrev, vol. 191, Springer, 2016, pp. 559–64, doi:10.1007/978-981-10-2636-2_43.
APA
Oste, R., & Van der Jeugt, J. (2016). Algebraic structures related to Racah doubles. In V. Dobrev (Ed.), Lie theory and its applications in physics (Vol. 191, pp. 559–564). Singapore, Singapore: Springer. https://doi.org/10.1007/978-981-10-2636-2_43
Chicago author-date
Oste, Roy, and Joris Van der Jeugt. 2016. “Algebraic Structures Related to Racah Doubles.” In Lie Theory and Its Applications in Physics, edited by Vladimir Dobrev, 191:559–64. Singapore, Singapore: Springer. https://doi.org/10.1007/978-981-10-2636-2_43.
Chicago author-date (all authors)
Oste, Roy, and Joris Van der Jeugt. 2016. “Algebraic Structures Related to Racah Doubles.” In Lie Theory and Its Applications in Physics, ed by. Vladimir Dobrev, 191:559–564. Singapore, Singapore: Springer. doi:10.1007/978-981-10-2636-2_43.
Vancouver
1.
Oste R, Van der Jeugt J. Algebraic structures related to Racah doubles. In: Dobrev V, editor. Lie theory and its applications in physics. Singapore, Singapore: Springer; 2016. p. 559–64.
IEEE
[1]
R. Oste and J. Van der Jeugt, “Algebraic structures related to Racah doubles,” in Lie theory and its applications in physics, Varna, Bulgaria, 2016, vol. 191, pp. 559–564.
@inproceedings{8501433,
  abstract     = {{In a previous paper, 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.}},
  author       = {{Oste, Roy and Van der Jeugt, Joris}},
  booktitle    = {{Lie theory and its applications in physics}},
  editor       = {{Dobrev, Vladimir}},
  isbn         = {{9789811026355}},
  issn         = {{2194-1009}},
  keywords     = {{Racah polynomials,quadratic algebra}},
  language     = {{und}},
  location     = {{Varna, Bulgaria}},
  pages        = {{559--564}},
  publisher    = {{Springer}},
  title        = {{Algebraic structures related to Racah doubles}},
  url          = {{http://dx.doi.org/10.1007/978-981-10-2636-2_43}},
  volume       = {{191}},
  year         = {{2016}},
}

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