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arXiv · 2211.00095

Contact seaweeds II: type C

Vincent E. Coll, Jr.·Nicholas Russoniello
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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.

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Vincent E. Coll, Jr., Nicholas Russoniello. 2022-10-31. Contact seaweeds II: type C. https://arxiv.org/abs/2211.00095

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