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Research Article Open access CC BY 3.0

Lie’s Theorems on Soluble Leibniz Algebras

J. A. Béré Côme, Pilabré N. Boukary, Kobmbaye Aslao

Journal of Advances in Mathematics and Computer Science · pp. 2570–2581 · Published 2 Jul 2014

10.9734/BJMCS/2014/11556

Abstract

New proofs for Lie’s theorems on soluble Leibniz algebras.

Leibniz algebras Leibniz module Lie’s theorem Weight spaces Pseudo-weight spaces.

References (7)

  1. 1 Introduction to Lie Algebras and Representation Theory [DOI]
  2. 2 ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS [DOI]
  3. 3 On Engel's Theorem for Leibniz Algebras [DOI]
  4. 4 Leibniz Algebras and Lie Algebras [DOI]
  5. 5 Cartan Subalgebras, Weight Spaces, and Criterion of Solvability of Finite Dimensional Leibniz Algebras [DOI]
  6. 6 On the existence of ad-nilpotent elements [DOI]
  7. 7 On some structures of Leibniz algebras [DOI]

Cited by 3

Nilpotence dans les alg\`ebres de Malcev

A. CômeJ., Bére, Nakelgbamba B. Pilabré · 2016

On nilpotency in Leibniz algebras

Côme J. A. Béré, M. Ouedraogo, Moussa Ouattara · 2016

On a class of Leibniz Algebras

Come J.A.B'er'e, Aslao Kobmbaye, Amidou Konkobo · 2015

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