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spherical harmonics


I'm trying to do some Mathematica calculations with spherical harmonics. However, even testing the simple orthogonality relation does not work. 
code:
Integrate[
 SphericalHarmonicY[l, m, theta, phi] SphericalHarmonicY[lp, mp, 
   theta, phi] Sin[theta], {theta, 0, Pi}, {phi, 0, 2 Pi}]

adding the assumptions that l, m, lp and mp are integers does not help.



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