Meander graphs and Frobenius Seaweed Lie algebras

Details Meander graphs and Frobenius Seaweed Lie algebras Meander graphs and Frobenius Seaweed Lie algebras

2010-11-04

arxiv.org/abs/1011.1294v2

Mathematics

Representation Theory

5 figures, to appear in Journal of Generalized Lie Theory

Scientific paper

The index of a seaweed Lie algebra can be computed from its associated
meander graph. We examine this graph in several ways with a goal of determining
families of Frobenius (index zero) seaweed algebras. Our analysis gives two new
families of Frobenius seaweed algebras as well as elementary proofs of known
families of such Lie algebras.

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