On spherical functions on the group SU(2) × SU(2) × SU(2) |
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Authors: | Yu A Neretin |
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Institution: | 1.Mathematical Department Institute for Theoretical and Experimental Physics,University of Vienna,Moscow,Russia;2.Moscow State University,Moscow,Russia |
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Abstract: | We consider the group G:= SU(2) × ... × SU(2) (l factors), where SU(2) is the group of unitary 2 × 2 matrices with unit determinant. Let K ≃ SU(2) be the diagonal subgroup of G. We obtain the generating function of all K-spherical functions on G. |
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