The Racah algebra and superintegrable models

2013/12/13 by Vincent X. Genest, Luc Vinet, Alexei Zhedanov · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP

paper · pdf · doi:10.1088/1742-6596/512/1/012011

published as J. Phys.: Conf. Ser. 512 (2014) 012011 · Prepared for proceedings of QTS8, Mexico City, August 2013. Review of the plenary talk given by Luc Vinet at this conference

arxiv created 2013/12/13 · arxiv updated 2015/06/18

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.

Cited by

• Verma modules and finite-dimensional irreducible modules of the universal Askey–Wilson algebra at roots of unity

Related

• Superintegrability in two dimensions and the Racah-Wilson algebra
• The equitable Racah algebra from three su(1,1) algebras
• The Racah algebra and \mathfraksl_n
• A discrete realization of the higher rank Racah algebra
• A q-analog of the Racah polynomials and the q-algebra SUq(2)