Symplectic Meanders

Authors

Vincent E. Coll Jr., Lehigh UniversityFollow
Matthew Hyatt, Pace UniversityFollow
Colton Magnant, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

4-5-2017

Publication Title

Communications in Algebra

DOI

10.1080/00927872.2016.1278012

ISSN

1532-4125

Abstract

Analogous to the ��(n) case, we address the computation of the index of seaweed subalgebras of ��(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.

Recommended Citation

Coll, Vincent E. Jr., Matthew Hyatt, Colton Magnant. 2017. "Symplectic Meanders." Communications in Algebra, 45 (11): 4717-4729. doi: 10.1080/00927872.2016.1278012
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/594