alexa ON n-MAXIMAL SUBALGEBRAS OF LIE ALGEBRAS
Mathematics

Mathematics

Journal of Applied & Computational Mathematics

Author(s): DAVID A TOWERS

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A 2-maximal subalgebra of a Lie algebra L is a maximal subalgebra of a maximal subalgebra of L. Similarly we can define 3-maximal subalgebras, and so on. There are many interesting results concerning the question of what certain intrinsic properties of the maximal subalgebras of a Lie algebra L imply about the structure of L itself. Here we consider whether similar results can be obtained by imposing conditions on the n-maximal subalgebras of L, where n > 1.

This article was published in AMERICAN MATHEMATICAL SOCIETY and referenced in Journal of Applied & Computational Mathematics

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