Balachandran, A. P., Dolan, Brian P., Lee, J., Martin, X. and O'Connor, Denjoe
(2001)
*Fuzzy Complex Projective Spaces and their Star Products.*
(Preprint)

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## Abstract

We derive an explicit expression for an associative *-product on the fuzzy complex projective space, CP_F^(N−1). This generalises previous results for the fuzzy 2-sphere and gives a discrete non-commutative algebra of functions on CP_F^(N−1), represented by matrix multiplication. The matrices are restricted to ones whose dimension is that of the totally symmetric representations of SU(N). In the limit of infinite dimensional matrices we re-are also cover the commutative algebra of functions on CP^(N−1). Derivatives on CP_F^(N−1) expressed as matrix commutators.

Item Type: | Article |
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Divisions: | School of Theoretical Physics > Preprints |

Date Deposited: | 13 Jun 2018 13:08 |

Last Modified: | 15 Dec 2022 08:55 |

URI: | https://dair.dias.ie/id/eprint/440 |

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