Journal of Lie Theory

no. 4
Derivations of the Lie Algebra of Strictly Block Upper Triangular Matrices
Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 1027-1046
\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 $\Der(\N)$.
DOI: 10.5802/jolt.1149
Classification: 17B40, 16W25, 15B99, 17B05
Keywords: Derivation, nilpotent Lie algebra, strictly block upper triangular matrix 
@article{JOLT_2020_30_4_a6,
     author = {P. Ghimire and H. 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},
     doi = {10.5802/jolt.1149},
     zbl = {1481.17028},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1149/}
}
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P. Ghimire; H. Huang. Derivations of the Lie Algebra of Strictly Block Upper Triangular Matrices. Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 1027-1046. doi: 10.5802/jolt.1149

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