2000 character limit reached
The equitable Racah algebra from three su(1,1) algebras (1309.3540v2)
Published 13 Sep 2013 in math-ph and math.MP
Abstract: The Racah algebra, a quadratic algebra with two independent generators, is central in the analysis of superintegrable models and encodes the properties of the Racah polynomials. It is the algebraic structure behind the su(1,1) Racah problem as it is realized by the intermediate Casimir operators arising in the addition of three irreducible su(1,1) representations. It has been shown that this Racah algebra can also be obtained from quadratic elements in the enveloping algebra of su(2). The correspondence between these two realizations is here explained and made explicit.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.