Lie algebras with ad-invariant metrics. A survey

Abstract

This is a survey work on Lie algebras with ad-invariant metrics. We summarize main features, notions and constructions, in the aim of bringing into consideration the main research on the topic. We also give some list of examples in low dimensions.

26 pages. Improved version with more references and details. To be published in Rend. Sem. Mat. Univ. Pol. Torino

References in corpus (4)

• Nilpotent metric Lie algebras of small dimension
• Naturally reductive pseudo-Riemannian spaces
• A New Family of Solvable Self-Dual Lie Algebras
• Lie algebras admitting symmetric, invariant and nondegenerate bilinear forms

Cited by in corpus (2)

• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Lie algebras admitting symmetric, invariant and nondegenerate bilinear forms