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Spherical Functions for the Quantum Group su_q(2)

High Energy Physics - Theory 2008-02-03 v1 Quantum Algebra

Abstract

The representation theory of the quantum group suq(2)_q(2) is used to introduce qq-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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Cite

@article{arxiv.hep-th/9403003,
  title  = {Spherical Functions for the Quantum Group su_q(2)},
  author = {P. Winternitz and G. Rideau},
  journal= {arXiv preprint arXiv:hep-th/9403003},
  year   = {2008}
}

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8 pages