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Matrix Bases for Star Products: a Review
Symmetry, integrability and geometry: methods and applications, Tome 10 (2014) Cet article a éte moissonné depuis la source Math-Net.Ru

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We review the matrix bases for a family of noncommutative $\star$ products based on a Weyl map. These products include the Moyal product, as well as the Wick–Voros products and other translation invariant ones. We also review the derivation of Lie algebra type star products, with adapted matrix bases. We discuss the uses of these matrix bases for field theory, fuzzy spaces and emergent gravity.
Keywords: noncommutative geometry; star products; matrix models. 
@article{SIGMA_2014_10_a85,
     author = {Fedele Lizzi and Patrizia Vitale},
     title = {Matrix {Bases} for {Star} {Products:} {a~Review}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2014},
     volume = {10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a85/}
}
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Fedele Lizzi; Patrizia Vitale. Matrix Bases for Star Products: a Review. Symmetry, integrability and geometry: methods and applications, Tome 10 (2014). http://geodesic.mathdoc.fr/item/SIGMA_2014_10_a85/

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