Derivations of the Lie Algebra of Strictly Block Upper Triangular Matrices
Journal of Lie Theory, Tome 30 (2020) no. 4, pp. 1027-1046

Voir la notice de l'article provenant de la source Heldermann Verlag

\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 $\Der(\N)$.
Classification : 17B40, 16W25, 15B99, 17B05
Mots-clés : Derivation, nilpotent Lie algebra, strictly block upper triangular matrix

Prakash Ghimire  1   ; Huajun Huang  2

1 Dept. of Mathematics and Physical Sciences, Louisiana State University, Alexandria, U.S.A.
2 Dept. of Mathematics and Statistics, Auburn University, Auburn, U.S.A.
Prakash Ghimire; Huajun Huang. Derivations of the Lie Algebra of Strictly Block Upper Triangular Matrices. Journal of Lie Theory, Tome 30 (2020) no. 4, pp. 1027-1046. http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a6/
@article{JOLT_2020_30_4_a6,
     author = {Prakash Ghimire and Huajun Huang},
     title = {Derivations of the {Lie} {Algebra} of {Strictly} {Block} {Upper} {Triangular} {Matrices}},
     journal = {Journal of Lie Theory},
     pages = {1027--1046},
     year = {2020},
     volume = {30},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a6/}
}
TY  - JOUR
AU  - Prakash Ghimire
AU  - Huajun Huang
TI  - Derivations of the Lie Algebra of Strictly Block Upper Triangular Matrices
JO  - Journal of Lie Theory
PY  - 2020
SP  - 1027
EP  - 1046
VL  - 30
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a6/
ID  - JOLT_2020_30_4_a6
ER  - 
%0 Journal Article
%A Prakash Ghimire
%A Huajun Huang
%T Derivations of the Lie Algebra of Strictly Block Upper Triangular Matrices
%J Journal of Lie Theory
%D 2020
%P 1027-1046
%V 30
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a6/
%F JOLT_2020_30_4_a6