Faithful representations of Leibniz algebras

Donald W. Barnes

doi:10.1090/s0002-9939-2013-11788-0

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Faithful representations of Leibniz algebras

Donald W. Barnes

Year: 2013 Journal: Proceedings of the American Mathematical Society Vol: 141 (9)Pages: 2991-2995 Publisher: American Mathematical Society

DOI: 10.1090/s0002-9939-2013-11788-0

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Abstract

Let L L be a Leibniz algebra of dimension n n . We prove the existence of a faithful L L -module of dimension less than or equal to n + 1 n+1 .

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Rings, Modules, and Algebras

Physical Sciences → Mathematics → Algebra and Number Theory

Faithful representations of Leibniz algebras

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