Spherical Functions for the Quantum Group su_q(2)

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages

Scientific paper

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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