T*-extension of Lie triple systems

Hits:

Journal:LINEAR ALGEBRA AND ITS APPLICATIONS

Place of Publication:USA

Key Words:Metrised Lie triple system; T*-extension; Nilpotent Lie triple system

Abstract:In this paper, we introduce the notion of T*-extension of a Lie triple system. Then we show that T*-extension is compatible with nilpotency, solvability, and it preserves in certain sense the decomposition properties. In addition, we investigate the equivalence of T*-extensions using cohomology. Finally, we show that every finite-dimensional nilpotent metrised Lie triple system over an algebraically closed held is the T*-extension of an appropriate quotient system.

All the Authors:Lin Jie, Wang Yan, Deng Shaoqiang

First Author:Lin Jie

Indexed by:Unit Twenty Basic Research

Correspondence Author:Deng Shaoqiang

Volume:431

Issue:11

Page Number:2071-2083

ISSN No.:0024-3795

Translation or Not:no