abstract

• The aim of this work is to explicitly compute the semi-invariants of low-dimensional Lie algebras by reducing the amount of work, i.e., we can prove that almost every irreducible Lie algebra (Formula presented.) of dimension less than or equal to 5, satisfies the following: It is either a contact Lie algebra or there exists a torus (Formula presented.) such that (Formula presented.) is a contact Lie algebra. Therefore, the semi-invariants found by using the contact structure are the same found by using the Frobenius structure. © 2020 Taylor %26 Francis Group, LLC.
• The aim of this work is to explicitly compute the semi-invariants of low-dimensional Lie algebras by reducing the amount of work, i.e., we can prove that almost every irreducible Lie algebra (Formula presented.) of dimension less than or equal to 5, satisfies the following: It is either a contact Lie algebra or there exists a torus (Formula presented.) such that (Formula presented.) is a contact Lie algebra. Therefore, the semi-invariants found by using the contact structure are the same found by using the Frobenius structure. © 2020 Taylor & Francis Group, LLC.

authors

• Alvarez M.A.
• Salgado González Gil

publication date

• 2020-01-01

published in

• Communications in Algebra  Journal

keywords

• Contact Lie algebras; Frobenius Lie algebras; invariants; semi-invariants

Digital Object Identifier (DOI)

• 10.1080/00927872.2020.1861619

start page

end page