Meander Graphs and Frobenius Seaweed Lie Algebras

Authors

Colton Magnant, Georgia Southern UniversityFollow
Vincent E. Coll, Lehigh UniversityFollow
Anthony Giaquinto

Document Type

Article

Publication Date

2011

Publication Title

Journal of Generalized Lie Theory

DOI

10.4303/jglta/G110103

ISSN

1736-4337

Abstract

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.

Comments

All works published by OMICS Group are under the terms of the Creative Commons Attribution License. This permits anyone to copy, distribute, transmit and adapt the work provided the original work and source is appropriately cited. Article obtained from the Journal of Generalized Lie Theory.

Recommended Citation

Magnant, Colton, Vincent E. Coll, Anthony Giaquinto. 2011. "Meander Graphs and Frobenius Seaweed Lie Algebras." Journal of Generalized Lie Theory, 5 (1): 1-7. doi: 10.4303/jglta/G110103
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/118