Matrix Bases for Star Products: a Review

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dc.contributor.authorLizzi, F.
dc.contributor.authorVitale, P.
dc.date.accessioned2019-02-10T10:04:21Z
dc.date.available2019-02-10T10:04:21Z
dc.date.issued2014
dc.description.abstractWe review the matrix bases for a family of noncommutative ⋆ 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Deformations of Space-Time and its Symmetries. The full collection is available at http://www.emis.de/journals/SIGMA/space-time.html. We were partially supported by UniNA and Compagnia di San Paolo under the grant “Programma STAR 2013”. F. Lizzi acknowledges support by CUR Generalitat de Catalunya under project FPA2010-20807.uk_UA
dc.identifier.citationMatrix Bases for Star Products: a Review / F. Lizzi, P. Vitale // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 83 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 58Bxx; 40C05; 46L65
dc.identifier.otherDOI:10.3842/SIGMA.2014.086
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146614
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleMatrix Bases for Star Products: a Reviewuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік