abstract

• A quadratic Lie algebra is a Lie algebra endowed with a symmetric, invariant and nondegenerate bilinear form; such a bilinear form is called an invariant metric. The aim of this work is to describe the general structure of those central extensions of quadratic Lie algebras which in turn have invariant metrics. The structure is such that the central extensions can be described algebraically in terms of the original quadratic Lie algebra, and geometrically in terms of the direct sum decompositions that the invariant metrics involved give rise to. © 2020 World Scientific Publishing Company.

authors

• García-Delgado R.
• Salgado González Gil
• Sánchez-Valenzuela O.A.

publication date

• 2020-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: 33605  Grant

published in

• Journal of Algebra and its Applications  Journal

keywords

• central extension; invariant metric; Quadratic Lie algebra; skew-symmetric derivation

Digital Object Identifier (DOI)

• 10.1142/S0219498820502242

start page

end page

volume

• 19

issue

• 12