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arXiv · hep-th/9403003

Spherical Functions for the Quantum Group su_q(2)

P. Winternitz·G. Rideau
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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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P. Winternitz, G. Rideau. 1994-03-01. Spherical Functions for the Quantum Group su_q(2). https://arxiv.org/abs/hep-th/9403003

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