Ternary HomNambuLie algebras induced by HomLie algebras
(2010) In Journal of Mathematical Physics 51(4). Abstract
 The need to consider nary algebraic structures, generalizing Lie and Poisson algebras, has become increasingly important in physics, and it should therefore be of interest to study the mathematical concepts related to nary algebras. The purpose of this paper is to investigate ternary multiplications (as deformations of nLie structures) constructed from the binary multiplication of a HomLie algebra, a linear twisting map, and a trace function satisfying certain compatibility conditions. We show that the relation between the kernels of the twisting maps and the trace function plays an important role in this context and provide examples of HomNambuLie algebras obtained using this construction. (C) 2010 American Institute of Physics.... (More)
 The need to consider nary algebraic structures, generalizing Lie and Poisson algebras, has become increasingly important in physics, and it should therefore be of interest to study the mathematical concepts related to nary algebras. The purpose of this paper is to investigate ternary multiplications (as deformations of nLie structures) constructed from the binary multiplication of a HomLie algebra, a linear twisting map, and a trace function satisfying certain compatibility conditions. We show that the relation between the kernels of the twisting maps and the trace function plays an important role in this context and provide examples of HomNambuLie algebras obtained using this construction. (C) 2010 American Institute of Physics. [doi:10.1063/1.3359004] (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/1619390
 author
 Arnlind, Joakim; Makhlouf, Abdenacer and Silvestrov, Sergei ^{LU}
 organization
 publishing date
 2010
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Journal of Mathematical Physics
 volume
 51
 issue
 4
 publisher
 American Institute of Physics
 external identifiers

 wos:000277242500038
 scopus:77953252041
 ISSN
 00222488
 DOI
 10.1063/1.3359004
 project
 Noncommutative Geometry in Mathematics and Physics
 language
 English
 LU publication?
 yes
 id
 a5c13da897684b619bbccb1fdd7e4330 (old id 1619390)
 date added to LUP
 20100622 09:30:03
 date last changed
 20180529 11:52:53
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