On spherical harmonics for fuzzy spheres in diverse dimensions

  title={On spherical harmonics for fuzzy spheres in diverse dimensions},
  author={Sanjaye Ramgoolam},
  journal={Nuclear Physics},
Abstract We construct spherical harmonics for fuzzy spheres of even and odd dimensions, generalizing the correspondence between finite Matrix algebras and fuzzy two-spheres. The finite Matrix algebras associated with the various fuzzy spheres have a natural basis which falls in correspondence with tensor constructions of irreducible representations of orthogonal groups SO ( n ). This basis is useful in describing fluctuations around various D-brane constructions of fuzzy spherical objects. The… 
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