Families of Frobenius seaweed Lie algebras
Vincent Coll, Colton Magnant, Hua Wang

TL;DR
This paper introduces new infinite families of Frobenius seaweed Lie subalgebras of rak{sl}_n, notably including the first to feature meanders with arbitrarily many parts, expanding the understanding of their structure.
Contribution
It extends known classifications by identifying a new broad family of Frobenius seaweed Lie algebras with complex meander structures.
Findings
Established a new family of Frobenius seaweed Lie algebras with arbitrarily many parts.
Expanded the classification of Frobenius seaweed Lie algebras.
Provided structural insights into the associated meanders.
Abstract
We extend the set of known infinite families of Frobenius seaweed Lie subalgebras of to include a family which is the first non-trivial general family containing algebras whose associated meanders have an arbitrarily large number of parts.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra
