|
|||||
|
|
Derivations of the Lie algebra of infinite strictly upper triangular matrices over a commutative ring |
|
| Authors: | Waldemar Hołubowski Iryna Kashuba |
| Affiliation: | 1. Institute of Mathematics, Silesian University of Technology, Gliwice, Poland;2. Department of Mathematics and Statistics, S?o Paulo University, Sao Paulo, Brazil |
| Abstract: | Let 𝒩(∞,R) be the Lie algebra of infinite strictly upper triangular matrices over a commutative ring R. We show that every derivation of 𝒩(∞,R) is a sum of diagonal and inner derivations. |
| Keywords: | Commutative ring derivations of Lie algebra infinite dimensional Lie algebra strictly triangular infinite matrix |