
Journal of Lie Theory 30 (2020), No. 4, 10271046 Copyright Heldermann Verlag 2020 Derivations of the Lie Algebra of Strictly Block Upper Triangular Matrices Prakash Ghimire Dept. of Mathematics and Physical Sciences, Louisiana State University, Alexandria, U.S.A. pghimire@lsua.edu Huajun Huang Dept. of Mathematics and Statistics, Auburn University, Auburn, U.S.A. huanghu@auburn.edu [Abstractpdf] \newcommand\Der{\operatorname{Der}} \newcommand\N{\mathcal N} Let $\N$ be the Lie algebra of all $n \times n$ strictly block upper triangular matrices over a field $\mathbb{F}$. Let $\Der(\N)$ be Lie algebra of all derivations of $\N$. In this paper, we describe the elements and the structure of $\Der(\N)$. We also determine the dimensions of component subalgebras of $\Der(\N)$. Keywords: Derivation, nilpotent Lie algebra, strictly block upper triangular matrix. MSC: 17B40, 16W25, 15B99, 17B05. [ Fulltextpdf (164 KB)] for subscribers only. 