Uniqueness theorems for left-symmetric enveloping algebras

被引：1

作者：

Bolgar, JR

机构：

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 1996年 / 120卷

关键词：

AFFINE; MANIFOLDS;

D O I：

10.1017/S030500410007479X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a Lie algebra over a field of characteristic zero. We study the universal left-symmetric enveloping algebra U(L) introduced by Dan Segal in [9]. We prove some uniqueness results for these algebras and determine their automorphism groups, both as left-symmetric algebras and as Lie algebras.

引用

页码：193 / 206

页数：14