Contact seaweeds II: type C

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 $A_{n-1}=\mathfrak{sl}(n)$ is contact by identifying contact forms that arise from Dougherty's framework. We extend this result to include index-one seaweed subalgebras of $C_n=\mathfrak{sp}(2n)$. Our methods are graph-theoretic and combinatorial.