Symplectic meanders

2016/02/02 by Vincent E. Coll, Vincent E. Coll, Jr., Matthew Hyatt +4 · 1 citation
Agricultural and Biological Sciences · Mathematics · #Bryophyte Studies and Records #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.1602.01146

arxiv created 2016/02/02 · openalex publication_date 2016/02/02 · arxiv updated 2016/02/04 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

Analogous to the sl(n) case, we address the computation of the index of seaweed subalgebras of sp(2n) by introducing graphical representations called symplectic meanders. Formulas for the algebra's index may be computed by counting the connected components of its associated meander. In certain cases, formulas for the index can be given in terms of elementary functions.

Cited by

• Seaweed algebras with restricted part sizes

Related

• Combinatorial index formulas for Lie algebras of seaweed type
• Meander graphs and Frobenius Seaweed Lie algebras
• Seaweed algebras
• The signature of a meander
• Index of seaweed algebras and integer partitions