English

Symplectic meanders

Rings and Algebras 2016-02-04 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.1602.01146,
  title  = {Symplectic meanders},
  author = {Vincent E. Coll, and Matthew Hyatt and Colton Magnant},
  journal= {arXiv preprint arXiv:1602.01146},
  year   = {2016}
}
R2 v1 2026-06-22T12:42:26.586Z