Search: WFRF:(Silvestrov S. D. 1970 ) >
Generalization of n...
-
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
Classification
-
Subject category:ref swepub-contenttype
-
Subject category:art swepub-publicationtype
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
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
Internet link
Find in a library
To the university's database