Lie algebras with ad-invariant metrics. A survey

2015/12/13 by Gabriela P. Ovando, Ovando, Gabriela P. · 3 citations
Mathematics · #Advanced Topics in Algebra #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1512.03997

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.

Citations

• Curvatures of left invariant metrics on lie groups

Cited by

• Toric geometry of Schouten squares on rotational double extensions
• Infinitely many left-symmetric structures on nilpotent Lie algebras
• Structure of non-solvable cyclic metric Lie algebras

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• Metric Lie n-algebras and double extensions
• Invariants of Lie algebras