English

Contact Seaweeds

Rings and Algebras 2022-10-19 v2

Abstract

A (2k+12k+1)-dimensional contact Lie algebra is one which admits a one-form φ\varphi such that φ(dφ)k0\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.

Keywords

Cite

@article{arxiv.2010.13284,
  title  = {Contact Seaweeds},
  author = {Vincent E. Coll and Nicholas Mayers and Nicholas Russoniello and Gil Salgado},
  journal= {arXiv preprint arXiv:2010.13284},
  year   = {2022}
}
R2 v1 2026-06-23T19:38:21.682Z