University of Sydney Algebra Seminar

Donald Barnes (University of Sydney)

Friday 4 November, 12:05-12:55pm, Carslaw 175

Faithful representations of Leibniz algebras

The Ado-Iwasawa Theorem asserts that for a finite-dimensional Lie algebra, there exists a faithful finite-dimensional module. I shall prove that for a finite-dimensional Leibniz algebra of dimension \(n\), there exists a faithful module of dimension less than or equal to \(n+1\).