论文标题

接触海藻II:C型

Contact seaweeds II: type C

论文作者

Coll, Jr., Vincent E., Russoniello, Nicholas

论文摘要

本文延续了早期关于海藻代数上接触表格的构建的工作。在本文的前传中,我们证明了$ a_ {n-1} = \ mathfrak {sl}(n)$的每一个索引 - 一条海藻subergebra是通过识别从多尔蒂(Dougherty)框架出现的联系表格来触摸的。我们将此结果扩展到包括$ c_ {n} = \ mathfrak {sp}(2n)$的索引 - 一米藻类亚级别。我们的方法是图理论和组合。

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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