Contact Seaweeds

Abstract

A ($2k+1$)$-$dimensional contact Lie algebra is one which admits a one-form $\phi$ such that $\phi \wedge (d\phi {)}^k\ne 0$. 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.

Cited by in corpus (1)

• On toral posets and contact Lie algebras