Symplectic meanders. Issue 11 (2nd November 2017)

• Record Type: Journal Article
• Authors: Coll, Vincent E.; Hyatt, Matthew; Magnant, Colton
• Is Part Of: Communications in algebra. Volume 45:Issue 11(2017)
• Page Start: 4717
• Page End: 4729
• Publication Date: 2017-11-02
• Subjects: Frobenius Lie algebra -- index -- meander -- seaweed -- symplectic Lie algebra; 17B20; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2016.1278012
• Languages: English
• ISSNs: 0092-7872

Abstract

ABSTRACT: Analogous to the 𝔰𝔩 ( n ) case, we address the computation of the index of seaweed subalgebras of 𝔰𝔭 (2 n ) 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.