Research Article

The role of derivations in the nilpotence and semisimplicity of Lie triple systems

Published in: Quaestiones Mathematicae
Volume 47 , issue 7, pages: 1437–1459

DOI: 10.2989/16073606.2024.2320439

Author(s): Hani AbdelwahabMansoura University, Egypt, Antonio J. Calderón MartínUniversity of Cádiz, Spain, Moustafa MahannaMansoura University, Egypt,

Keywords: 17A30, 17A40, 17B30, 17D99, 14D06, 14L30, PLEASE SUPPLY?,

Download full text Get new issue alerts

Abstract

We explore the role derivations of a Lie triple system play in the nilpotence and semisimplicity of T. In particular analogous to two theorems of Jacobson for Lie algebras, (by giving a sufficient condition for the nilpotence of T in terms of the existence of an invertible derivation, and in terms of the existence of certain automorphisms), are stated. The connections between the Lie algebra of derivations of and the semisimplicity of T are also studied.

« Introduction to the Special Issue: Leveraging Global Value Chains for innovation and industrialization in Africa

On the solution of the Cauchy problem for a higher-order equation with the fractional Riemann-Liouville derivative »

Research Article

The role of derivations in the nilpotence and semisimplicity of Lie triple systems

Abstract

Get new issue alerts for Quaestiones Mathematicae

Latest news

Latest articles