A Generalization of Lie's Theorem

2013/11/21 by Johanna Hennig, Hennig, Johanna
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1311.5618

7 pages

arxiv created 2013/11/21 · arxiv updated 2013/11/25

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.

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