Contact Seaweeds
Vincent E. Coll, Nicholas Mayers, Nicholas Russoniello, and Gil, Salgado

TL;DR
This paper investigates contact structures on certain Lie algebras, proving that index-one type-A seaweed algebras are necessarily contact and providing explicit examples and construction methods.
Contribution
It establishes a new connection between index-one type-A seaweed algebras and contact structures, including explicit construction techniques.
Findings
Index-one type-A seaweed algebras are contact.
Explicit examples of contact seaweed algebras are provided.
A method for constructing contact seaweed algebras is introduced.
Abstract
A ()dimensional contact Lie algebra is one which admits a one-form such that . 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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Taxonomy
TopicsAdvanced Topics in Algebra · Connective tissue disorders research · Nonlinear Waves and Solitons
