Automorphism groups of nilpotent Lie algebras associated to certain graphs

DOI10.1080/00927872.2019.1640239zbMath1446.17010arXiv1812.09439OpenAlexW2906243030MaRDI QIDQ5216222

Meera G. Mainkar, Savannah Swiatlowski, Debraj Chakrabarti

Publication date: 17 February 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09439

zbMATH Keywords

Lie algebrascolored graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Coloring of graphs and hypergraphs (05C15)

Related Items (1)

Abelian factors in 2-step nilpotent Lie algebras constructed from graphs

Cites Work

• Existence of Anosov diffeomorphisms on infra-nilmanifolds modeled on free nilpotent Lie groups
• Einstein solvmanifolds: Existence and non-existence questions
• Constructing infra-nilmanifolds admitting an Anosov diffeomorphism
• Einstein solvmanifolds and graphs
• Compact symplectic nilmanifolds associated with graphs
• Lie bialgebra structures on 2-step nilpotent graph algebras
• Graphs and metric 2-step nilpotent Lie algebras
• Uniform Lie algebras and uniformly colored graphs
• Graphs and two-step nilpotent Lie algebras
• Solvable Lie algebras and graphs
• Two-Step and Three-Step Nilpotent Lie Algebras Constructed from Schreier Graphs
• Cohomology and weight systems for nilpotent Lie algebras
• Anosov automorphisms on compact nilmanifolds associated with graphs
• Geodesic orbit and naturally reductive nilmanifolds associated with graphs

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