Spherical Functions for the Quantum Group su_q(2)
classification
✦ hep-th
math.QA
keywords
equationsfunctionsgroupquantumsphericalamountsanaloguescertain
read the original abstract
The representation theory of the quantum group su$_q(2)$ is used to introduce $q$-analogues of the Wigner rotation matrices, spherical functions, and Legendre polynomials. The method amounts to an extension of variable separation from Laplace equations to certain differential-dilation equations.
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