Star product and invariant integration for Lie Type noncommutative spacetimes

Chryssomalakos, C; Okon, E

dc.contributor.author	Chryssomalakos, C	en
dc.contributor.author	Okon, E	en
dc.date.accessioned	2014-03-01T01:27:17Z
dc.date.available	2014-03-01T01:27:17Z
dc.date.issued	2007	en
dc.identifier.issn	1126-6708	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18381
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-77953255791&partnerID=40&md5=3c8aea8a16bde06b67050e2c40f4f5a4	en
dc.subject	Non-commutative geometry	en
dc.subject	Space-time symmetries	en
dc.subject.classification	Physics, Particles & Fields	en
dc.subject.other	KAPPA-MINKOWSKI SPACE	en
dc.subject.other	QUANTUM-FIELD THEORY	en
dc.subject.other	DEFORMATION QUANTIZATION	en
dc.subject.other	GAUGE-THEORIES	en
dc.subject.other	ALGEBRA	en
dc.subject.other	GEOMETRY	en
dc.subject.other	TRACES	en
dc.title	Star product and invariant integration for Lie Type noncommutative spacetimes	en
heal.type	journalArticle	en
heal.identifier.secondary	012	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	We present a star product for noncommutative spaces of Lie type, including the so called ""canonical"" case by introducing a central generator, which is compatible with translations and admits a simple, manageable definition of an invariant integral. A quasicyclicity property for the latter is shown to hold, which reduces to exact cyclicity when the adjoint representation of the underlying Lie algebra is traceless. Several explicit examples illuminate the formalism, dealing with κ-Minkowski spacetime and the Heisenberg algebra (""canonical"" noncommutative 2-plane). © SISSA 2007.	en
heal.publisher	INT SCHOOL ADVANCED STUDIES	en
heal.journalName	Journal of High Energy Physics	en
dc.identifier.isi	ISI:000249258200086	en
dc.identifier.volume	2007	en
dc.identifier.issue	8	en