English

Contact seaweeds II: type C

Rings and Algebras 2023-06-12 v2

Abstract

This paper is a continuation of earlier work on the construction of contact forms on seaweed algebras. In the prequel to this paper, we show that every index-one seaweed subalgebra of An1=sl(n)A_{n-1}=\mathfrak{sl}(n) is contact by identifying contact forms that arise from Dougherty's framework. We extend this result to include index-one seaweed subalgebras of Cn=sp(2n)C_{n}=\mathfrak{sp}(2n). Our methods are graph-theoretic and combinatorial.

Cite

@article{arxiv.2211.00095,
  title  = {Contact seaweeds II: type C},
  author = {Vincent E. Coll, and Nicholas Russoniello},
  journal= {arXiv preprint arXiv:2211.00095},
  year   = {2023}
}
R2 v1 2026-06-28T04:53:12.461Z