# On spherical harmonics for fuzzy spheres in diverse dimensions

@article{Ramgoolam2001OnSH, title={On spherical harmonics for fuzzy spheres in diverse dimensions}, author={Sanjaye Ramgoolam}, journal={Nuclear Physics}, year={2001}, volume={610}, pages={461-488} }

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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