Commutative post-Lie algebra structures on Lie algebras

被引：30

作者：

Burde, Dietrich ^{[1
]}

Moens, Wolfgang Alexander ^{[1
]}

机构：

[1] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

JOURNAL OF ALGEBRA | 2016年 / 467卷

基金：

奥地利科学基金会;

关键词：

Post-Lie algebra; Pre-Lie algebra; GENERALIZED DERIVATIONS; AFFINE STRUCTURES;

D O I：

10.1016/j.jalgebra.2016.07.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any CPA-structure (commutative post-Lie algebra structure) on a perfect Lie algebra is trivial. Furthermore we give a general decomposition of inner CPA-structures, and claAsify all CPA-structures on complete Lie algebras. As a special case we obtain the CPA-structures of parabolic subalgebras of semisimple Lie algebras. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：183 / 201

页数：19

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