Derivations of the Lie algebra of infinite strictly upper triangular matrices over a commutative ring

被引：4

作者：

Holubowski, Waldemar ^{[1
]}

Kashuba, Iryna ^{[2
]}

Zurek, Sebastian ^{[1
]}

机构：

[1] Silesian Tech Univ, Inst Math, Kaszubska 23, PL-44101 Gliwice, Poland

[2] Univ Sao Paulo, Dept Math & Stat, Sao Paulo, Brazil

来源：

COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 11期

关键词：

Commutative ring; derivations of Lie algebra; infinite dimensional Lie algebra; strictly triangular infinite matrix; DERIVABLE MAPPINGS; NEST-ALGEBRAS; TRIPLE;

D O I：

10.1080/00927872.2016.1277388

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N(infinity,R) be the Lie algebra of infinite strictly upper triangular matrices over a commutative ring R. We show that every derivation of N(infinity,R) is a sum of diagonal and inner derivations.

引用

收藏

页码：4679 / 4685

页数：7

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