T*-extension of Lie triple systems

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发表刊物:LINEAR ALGEBRA AND ITS APPLICATIONS

刊物所在地:USA

关键字:Metrised Lie triple system; T*-extension; Nilpotent Lie triple system

摘要: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.

合写作者:Lin Jie, Wang Yan, Deng Shaoqiang

第一作者:Lin Jie

论文类型:Unit Twenty Basic Research

通讯作者:Deng Shaoqiang

卷号:431

期号:11

页面范围:2071-2083

ISSN号:0024-3795

是否译文:否

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