\def\b{{\frak b}} \def\n{{\frak n}} \def\s{{\frak s}} Let $n\geq 4$ be a positive integer, $\n$ a maximal nilpotent subalgebra of the orthogonal algebra o$(2n,F)$ over a field $F$ of characteristic not $2$, $\s$ a solvable Lie algebra containing $\n$ as its nilradical. This article shows that the dimension of $\s$ is at most $\dim(\n)+n$, and $\s$ is isomorphic to the standard Borel subalgebra $\b$ of o$(2n,F)$ if and only if $\dim(\s)=\dim(\n)+n$.
@article{JOLT_2012_22_3_a2,
author = {Dengyin Wang and Hongya Bian and Bingkai Chen},
title = {Solvable {Lie} {Algebras} with {Nilradicals} of {Orthogonal} {Types}},
journal = {Journal of Lie Theory},
pages = {683--699},
year = {2012},
volume = {22},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2012_22_3_a2/}
}
TY - JOUR
AU - Dengyin Wang
AU - Hongya Bian
AU - Bingkai Chen
TI - Solvable Lie Algebras with Nilradicals of Orthogonal Types
JO - Journal of Lie Theory
PY - 2012
SP - 683
EP - 699
VL - 22
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2012_22_3_a2/
ID - JOLT_2012_22_3_a2
ER -
%0 Journal Article
%A Dengyin Wang
%A Hongya Bian
%A Bingkai Chen
%T Solvable Lie Algebras with Nilradicals of Orthogonal Types
%J Journal of Lie Theory
%D 2012
%P 683-699
%V 22
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2012_22_3_a2/
%F JOLT_2012_22_3_a2
