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Generalization of n...
Generalization of n-ary Nambu algebras and beyond
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- Ataguema, H. (författare)
- Universit́e de Haute Alsace, France
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- Makhlouf, A. (författare)
- Universit́e de Haute Alsace, France
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- Silvestrov, S. D., 1970- (författare)
- 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
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(creator_code:org_t)
- AIP Publishing, 2009
- 2009
- Engelska.
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Ingår i: Journal of Mathematical Physics. - : AIP Publishing. - 0022-2488 .- 1089-7658. ; 50:8, s. Article number 083501-
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- 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)
Nyckelord
- hom-Nambu algebra
- n-ary hom-algebra structure
- Hom-Lie algebra
- Mathematics/Applied Mathematics
- matematik/tillämpad matematik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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