mdh.sePublikasjoner
Endre søk
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
Max Planck Institute for Gravitational Physics (AEI), Am Mühlenberg 1, D-14476 Golm, Germany. (MERO, tillämpad matematik)
Université de Haute Alsace, Lab. de Mathématiques Informatique et Applications, 4, rue des Frères Lumière, F-68093 Mulhouse, France.
Mälardalens högskola, Akademin för utbildning, kultur och kommunikation. (Tillämpad Matematik)ORCID-id: 0000-0003-4554-6528
2011 (engelsk)Inngår i: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 52, nr 12, s. 123502-Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

As n-ary operations, generalizing Lie and Poisson algebras, arise in many different physical contexts, it is interesting to study general ways of constructing explicit realizations of such multilinear structures. Generically, they describe the dynamics of a physical system, and there is a need of understanding their quantization. Hom-Nambu-Lie algebras provide a framework that might be an appropriate setting in which n-Lie algebras (n-ary Nambu-Lie algebras) can be deformed, and their quantization studied. We present a procedure to construct (n + 1)-ary Hom-Nambu-Lie algebras from n-ary Hom-Nambu-Lie algebras equipped with a generalized trace function. It turns out that the implications of the compatibility conditions, that are necessary for this construction, can be understood in terms of the kernel of the trace function and the range of the twisting maps. Furthermore, we investigate the possibility of defining (n + k)-Lie algebras from n-Lie algebras and a k-form satisfying certain conditions. (C) 2011 American Institute of Physics. [doi:10.1063/1.3653197]

sted, utgiver, år, opplag, sider
2011. Vol. 52, nr 12, s. 123502-
Emneord [en]
Hom-Nambu-Lie algebra, Hom-Lie algebra, Nambu-Lie algebra, trace
HSV kategori
Forskningsprogram
matematik/tillämpad matematik
Identifikatorer
URN: urn:nbn:se:mdh:diva-14333DOI: 10.1063/1.3653197ISI: 000298641000020Scopus ID: 2-s2.0-84855279256OAI: oai:DiVA.org:mdh-14333DiVA, id: diva2:508897
Tilgjengelig fra: 2012-03-12 Laget: 2012-03-10 Sist oppdatert: 2017-12-07bibliografisk kontrollert

Open Access i DiVA

fulltext(227 kB)250 nedlastinger
Filinformasjon
Fil FULLTEXT02.pdfFilstørrelse 227 kBChecksum SHA-512
64c4e76caf0f7673dbb9b94903ec0c55099ca0696b6ef480ec0e127ed6d9271ff6dc745871a0cda60ab5ae19dac48284c70224cd35e9ef4b2c23dc97d0c705c4
Type fulltextMimetype application/pdf

Andre lenker

Forlagets fulltekstScopus

Personposter BETA

Silvestrov, Sergei

Søk i DiVA

Av forfatter/redaktør
Silvestrov, Sergei
Av organisasjonen
I samme tidsskrift
Journal of Mathematical Physics

Søk utenfor DiVA

GoogleGoogle Scholar
Totalt: 250 nedlastinger
Antall nedlastinger er summen av alle nedlastinger av alle fulltekster. Det kan for eksempel være tidligere versjoner som er ikke lenger tilgjengelige

doi
urn-nbn

Altmetric

doi
urn-nbn
Totalt: 441 treff
RefereraExporteraLink to record
Permanent link

Direct link
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annet format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annet språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf