A Generalization of Lie's Theorem
Representation Theory
2013-11-25 v1
Abstract
We prove that in a locally finite dimensional Lie algebra L, any maximal, locally solvable subalgebra (Borel subalgebra) is the stabilizer of a maximal, generalized flag in an integrable, faithful module over L.
Cite
@article{arxiv.1311.5618,
title = {A Generalization of Lie's Theorem},
author = {Johanna Hennig},
journal= {arXiv preprint arXiv:1311.5618},
year = {2013}
}
Comments
7 pages