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- Arnlind, JoakimMax Planck Institute for Gravitational Physics (AEI), Am Mühlenberg 1, D-14476 Golm, Germany,MERO, tillämpad matematik (author)
Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
- Article/chapterEnglish2011
Publisher, publication year, extent ...
- AIP Publishing,2011
- electronicrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:mdh-14333
- https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-14333URI
- https://doi.org/10.1063/1.3653197DOI
- https://lup.lub.lu.se/record/2345079URI
- https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-122351URI
Supplementary language notes
- Language:English
- Summary in:English
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Notes
- 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]
Subject headings and genre
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- NATURVETENSKAP Fysik Annan fysik hsv//swe
- NATURAL SCIENCES Physical Sciences Other Physics Topics hsv//eng
- NATURVETENSKAP Matematik Algebra och logik hsv//swe
- NATURAL SCIENCES Mathematics Algebra and Logic hsv//eng
- NATURVETENSKAP Matematik Annan matematik hsv//swe
- NATURAL SCIENCES Mathematics Other Mathematics hsv//eng
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- Hom-Nambu-Lie algebra
- Hom-Lie algebra
- Nambu-Lie algebra
- trace
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Added entries (persons, corporate bodies, meetings, titles ...)
- Makhlouf, AbdenacerUniversité de Haute Alsace, Lab. de Mathématiques Informatique et Applications, 4, rue des Frères Lumière, F-68093 Mulhouse, France,Université de Haute Alsace, Laboratoire de Mathématiques, Informatique et Applications, 4, rue des Frères Lumière F-68093 Mulhouse, France (author)
- Silvestrov, SergeiLund University,Lunds universitet,Mälardalens högskola,Akademin för utbildning, kultur och kommunikation,Tillämpad Matematik,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH,Mälardalen University, Division of Applied Mathematics, The School of Education, Culture and Communication, Box 883, 721 23 Västerås, Sweden och Centre for Mathematical Sciences, Lund University, Box 118, 221 00 Lund, Sweden(Swepub:lu)math-ssi (author)
- Max Planck Institute for Gravitational Physics (AEI), Am Mühlenberg 1, D-14476 Golm, GermanyMERO, tillämpad matematik (creator_code:org_t)
Related titles
- In:Journal of Mathematical Physics: AIP Publishing52:12, s. 123502-0022-24881089-7658
Internet link
- https://mdh.diva-portal.org/smash/get/diva2:508897/FULLTEXT02.pdffulltext:preprint
- http://arxiv.org/pdf/1103.0093
- http://dx.doi.org/10.1063/1.3653197FULLTEXT
- https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-14333
- https://doi.org/10.1063/1.3653197
- https://lup.lub.lu.se/record/2345079
- https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-122351
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