Totally Geodesic Subalgebras of Filiform Nilpotent Lie algebras

2011/12/07 by Grant Cairns, Cairns, Grant, Ana Hinić Galić +3
Mathematics · #22E25 #53C30 #57R30 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:22E25 #msc:53C30 #msc:57R30

paper · pdf · doi:10.48550/arxiv.1112.1456

24 pages

openalex publication_date 2011/12/07 · arxiv created 2013/02/27 · arxiv updated 2013/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the maximal dimension of totally geodesic subalgebras of N-graded filiform Lie algebras, and we show that these bounds are attained.

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• Totally Geodesic Subalgebras of Nilpotent Lie algebras
• The Variety of Lie algebras of maximal class
• Deformations of graded Lie algebras and symplectic structures
• Index of Graded Filiform and Quasi Filiform Lie Algebras
• Graded filiform Lie algebras and symplectic nilmanifolds