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Lattice isomorphic solvable Lie algebras
Published online by Cambridge University Press: 09 April 2009
Extract
Let L be a Lie algebra over a field κ of any characteristic, and consider the lattice ℒ(L) of all subalgebras of L. In this paper we prove that if L and M are lattice isomorphic Lie algebras, over a field of any characteristic, and L′ and M′ are nilpotent, then the difference between the orders of solvability of L and M differs by at most one.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 10 , Issue 3-4 , November 1969 , pp. 266 - 268
- Copyright
- Copyright © Australian Mathematical Society 1969
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