English

The Racah algebra and superintegrable models

Mathematical Physics 2015-06-18 v1 math.MP

Abstract

The universal character of the Racah algebra will be illustrated by showing that it is at the center of the relations between the Racah polynomials, the recoupling of three su(1,1) representations and the symmetries of the generic second-order superintegrable model on the 2-sphere.

Keywords

Cite

@article{arxiv.1312.3874,
  title  = {The Racah algebra and superintegrable models},
  author = {Vincent X. Genest and Luc Vinet and Alexei Zhedanov},
  journal= {arXiv preprint arXiv:1312.3874},
  year   = {2015}
}

Comments

Prepared for proceedings of QTS8, Mexico City, August 2013. Review of the plenary talk given by Luc Vinet at this conference

R2 v1 2026-06-22T02:27:13.046Z