Fuzzy complex projective spaces and their star-products
By A. P. Balachandran, Brian P. Dolan, J. Lee, X. Martín, D. O’Connor. 2001
151 citations recorded by the source corpus.
We derive an explicit expression for an associative ∗-product on the fuzzy complex projective space, CPN−1F. This generalises previous results for the fuzzy 2-sphere and gives a discrete non-commutative algebra of functions on CPN−1F, 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 recover the commutative algebra of functions on CPN−1. Derivatives on CPN−1F are also expressed as matrix commutators.
Subfields: Algebra and Number Theory, Geometry and Topology, Management Science and Operations Research
View Paper: https://www.semanticscholar.org/paper/228e4bec0b00d97a6611be9a076414a72e9fd0e8
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In Algebra and Number Theory
In Geometry and Topology
In Management Science and Operations Research
Citations in the corpus
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