abstract

• A (2k 1)-dimensional contact Lie algebra is one which admits a one-form ϕ such that ϕ ∧ (dϕ)k ≠ 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. © 2022 Mathematical Sciences Publishers
A (2k%2b1)-dimensional contact Lie algebra is one which admits a one-form ϕ such that ϕ ∧ (dϕ)k ≠ 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. © 2022 Mathematical Sciences Publishers
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authors

• Salgado González Gil

publication date

• 2022-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: 1-S-45886, UASLP-CA-228  Grant

published in

• Pacific Journal of Mathematics  Journal

keywords

• Contact lie algebra; Contact structure; Frobenius lie algebra; Meanders; Regular one-forms; Seaweeds

Digital Object Identifier (DOI)

• 10.2140/pjm.2022.320.45

PubMed ID

start page

• 45

end page

• 60

volume

• 320

issue

• 1