Contact Seaweeds

Autor: Coll, Vincent E., Mayers, Nicholas, Russoniello, Nicholas, Salgado, Gil
Rok vydání: 2020
Předmět:
Zdroj: Pacific J. Math. 320 (2022) 45-60
Druh dokumentu: Working Paper
DOI: 10.2140/pjm.2022.320.45
Popis: A ($2k+1$)$-$dimensional contact Lie algebra is one which admits a one-form $\varphi$ such that $\varphi \wedge (d\varphi)^k\ne0$. 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.
Databáze: arXiv