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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 086, 36 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.086 (Mi sigma951) 		 
This article is cited in 28 scientific papers (total in 28 papers)

Matrix Bases for Star Products: a Review

Fedele Lizziabc, Patrizia Vitaleab

a Dipartimento di Fisica, Università di Napoli Federico II, Napoli, Italy
b INFN, Sezione di Napoli, Italy
c Institut de Ciéncies del Cosmos, Universitat de Barcelona, Catalonia, Spain
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DOI: https://doi.org/10.3842/SIGMA.2014.086
Abstract: 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.
Received: March 4, 2014; in final form August 11, 2014; Published online August 15, 2014
Bibliographic databases:
Document Type: Article
MSC: 58Bxx; 40C05; 46L65
Language: English
Citation: Fedele Lizzi, Patrizia Vitale, “Matrix Bases for Star Products: a Review”, SIGMA, 10 (2014), 086, 36 pp.
Citation in format AMSBIB
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\paper Matrix Bases for Star Products: a~Review
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\papernumber 086
\totalpages 36
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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