On n-ary Lie Algebras of Type (r, l)

[en] These notes are devoted to the multiple generalization of a Lie algebra introduced by A.M. Vinogradov and M.M. Vinogradov. We compare definitions of such algebras in the usual and invariant case. Furthermore, we show that there are no simple n-ary Lie algebras of type (n - 1, l) for l > 0.

Disciplines :

Mathematics

Author, co-author :

Vishnyakova, Elizaveta ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit

External co-authors :

Language :

English

Title :

On n-ary Lie Algebras of Type (r, l)

Publication date :

2015

Event name :

XXXIII Workshop

Event place :

Białowieża, Poland

Event date :

June 29 – July 5, 2014

Main work title :

Geometric Methods in Physics

Editor :

Kielanowski, Piotr

Bieliavsky, Pierre

Odzijewicz, Anatol

Schlichenmaier, Martin

Voronov, Theodore

Publisher :

Birkhäuser

ISBN/EAN :

978-3-319-18211-7

Collection name :

Trends in Mathematics

Pages :

227-234

Additional URL :

http://arxiv.org/abs/1509.04050

Available on ORBilu :

since 25 March 2016

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Bibliography

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