论文标题

联系海藻

Contact Seaweeds

论文作者

Coll, Vincent E., Mayers, Nicholas, Russoniello, Nicholas, Salgado, Gil

论文摘要

A($ 2K+1 $)$ - $ dimensional Contactional Lie代数是一种承认一型$φ$的$φ\ wedge(dφ)^k \ ne0 $。这样的代数有一个指数,但这通常不是足够的条件。在这里,我们表明一型索引 - A型海藻代数必须接触。提供了示例,并提供了用于其明确结构的方法。

A ($2k+1$)$-$dimensional contact Lie algebra is one which admits a one-form $φ$ such that $φ\wedge (dφ)^k\ne0$. Such algebras have index one, but this is not generally a sufficient condition. Here we show that index-one type-A seaweed algebras are necessarily contact. Examples, together with a method for their explicit construction, are provided.

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