The Askey-Wilson Algebra

Wed, 03/06/2015 - 10:30
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Motivated by the Racah coefficients, the Askey-Wilson algebra was introduced by the theoretical physicist Zhedanov. The algebra is named after Richard Askey and James Wilson because this algebra also presents the hidden symmetry between the three-term recurrence relation and $q$-difference equation of the Askey-Wilson polynomials. In this talk, I will present the progression on the finite-dimensional irreducible modules for Askey-Wilson algebra.