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math.RT2013
A Generalization of Lie's Theorem
Johanna Hennig
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 inte…
math.RA2013
Simple, locally finite dimensional Lie algebras in positive characteristic
Johanna Hennig
We prove two structure theorems for simple, locally finite dimensional Lie algebras over an algebraically closed field of characteristic which give sufficient conditions for th…