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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 Racah problem as it is realized by the intermediate Casimir operators arising in the addition of three irreducible representations. It has been shown that this Racah algebra can also be obtained from quadratic elements in the enveloping algebra of . The correspondence between these two realizations is here explained and made explicit.
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