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

作者：Holubowski Waldemar; Kashuba Iryna; Zurek Sebastian^*

来源：Communications in Algebra, 2017, 45(11): 4679-4685.

DOI：10.1080/00927872.2016.1277388

• Commutative ring
• derivations of Lie algebra
• infinite dimensional Lie algebra
• strictly triangular infinite matrix

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.

• 出版日期2017