Title of article
On dimension of a special subalgebra of derivations of nilpotent Lie algebras
Author/Authors
-، - نويسنده Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran. Sheikh-Mohseni, S. , -، - نويسنده Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran. Saeedi, F.
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2017
Pages
15
From page
79
To page
93
Abstract
-
Abstract
Let $L$ be a Lie algebra, $mathrm{Der}(L)$ be the set of all derivations of $L$ and $mathrm{Der}_c(L)$ denote the set of all derivations $alphainmathrm{Der}(L)$ for which $alpha(x)in [x,L]:={[x,y]vert yin L}$ for all $xin L$. We obtain an upper bound for dimension of $mathrm{Der}_c(L)$ of the finite dimensional nilpotent Lie algebra $L$ over algebraically closed fields. Also, we classify all finite dimensional nilpotent Lie algebras $L$ over algebraically closed fields for which dim$mathrm{Der}_c(L)$ attains its maximum value.
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2400324
Link To Document