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ON REPRESENTATIONS OF SYMMETRIC LEIBNIZ ALGEBRAS

Part of: Other nonassociative rings and algebras General nonassociative rings Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  23 May 2019

SAÏD BENAYADI
SAÏD BENAYADI*
Affiliation:
Université de Lorraine, Laboratoire IECL, CNRS UMR 7502, UFR MIM, 3 rue Augustin Frenel, BP 45112, 57073 Metz Cedex 03, France e-mail: said.benayadi@univ-lorraine.fr
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Abstract

We give a new and useful approach to study the representations of symmetric Leibniz algebras. Using this approach, we obtain some results on the representations of these algebras.

MSC classification

Primary: 17A32: Leibniz algebras 17B10: Representations, algebraic theory (weights)
Secondary: 17B05: Structure theory 17B30: Solvable, nilpotent (super)algebras 17D25: Lie-admissible algebras
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 62 , Special Issue S1: Workshop on Nonassociative algebras and their applications , December 2020 , pp. S99 - S107
Copyright
Copyright © Glasgow Mathematical Journal Trust 2019

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