WFRF:(Silvestrov S. D. 1970 )
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- Ataguema, H.Universit́e de Haute Alsace, France (author)
Generalization of n-ary Nambu algebras and beyond
- Article/chapterEnglish2009
Publisher, publication year, extent ...
- AIP Publishing,2009
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:mdh-22078
- https://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-22078URI
- https://doi.org/10.1063/1.3167801DOI
- https://lup.lub.lu.se/record/1490682URI
Supplementary language notes
- Language:English
- Summary in:English
Part of subdatabase
- SwePubSwePub
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Notes
- The aim of this paper is to introduce n-ary Hom-algebra structures generalizing the n-ary algebras of Lie type including n-ary Nambu algebras, n-ary Nambu-Lie algebras and n-ary Lie algebras, and n-ary algebras of associative type including n-ary totally associative and n-ary partially associative algebras. We provide examples of the new structures and present some properties and construction theorems. We describe the general method allowing one to obtain an n-ary Hom-algebra structure starting from an n-ary algebra and an n-ary algebra endomorphism. Several examples are derived using this process. Also we initiate investigation of classification problems for algebraic structures introduced in the article and describe all ternary three-dimensional Hom-Nambu-Lie structures with diagonal homomorphism.
Subject headings and genre
- NATURVETENSKAP Matematik Algebra och logik hsv//swe
- NATURAL SCIENCES Mathematics Algebra and Logic hsv//eng
- NATURVETENSKAP Fysik Annan fysik hsv//swe
- NATURAL SCIENCES Physical Sciences Other Physics Topics hsv//eng
- NATURVETENSKAP Matematik hsv//swe
- NATURAL SCIENCES Mathematics hsv//eng
- hom-Nambu algebra
- n-ary hom-algebra structure
- Hom-Lie algebra
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Added entries (persons, corporate bodies, meetings, titles ...)
- Makhlouf, A.Universit́e de Haute Alsace, France (author)
- Silvestrov, S. D.,1970-Lund University,Lunds universitet,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH,Mathematics/Applied Mathematics(Swepub:lu)math-ssi (author)
- Universit́e de Haute Alsace, FranceMatematikcentrum (creator_code:org_t)
Related titles
- In:Journal of Mathematical Physics: AIP Publishing50:8, s. Article number 083501-0022-24881089-7658
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