Affine Structures on Three-Step Nilpotent Lie Algebras

DOI10.2307/2039945zbMath0291.22010OpenAlexW4233635238MaRDI QIDQ4041848

John Scheuneman

Publication date: 1974

Full work available at URL: https://doi.org/10.2307/2039945

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Solvable, nilpotent (super)algebras (17B30)

Related Items (17)

The construction of affine structures on virtually nilpotent groups ⋮ Affine structures on 4-step nilpotent Lie algebras ⋮ Classical \(r\)-matrices and Novikov algebras ⋮ Expanding maps, Anosov diffeomorphisms and affine structures on infra-nilmanifolds. ⋮ Lie structures and chain ideal lattices ⋮ Low dimensional Lie groups admitting left invariant flat projective or affine structures ⋮ Polynomial structures for nilpotent groups ⋮ Uniqueness theorems for left-symmetric enveloping algebras ⋮ Left-symmetric algebras, or pre-Lie algebras in geometry and physics ⋮ Polynomial structures on polycyclic groups ⋮ Novikov structures on solvable Lie algebras ⋮ On fundamental groups of complete affinely flat manifolds ⋮ Translations in Certain Groups of Affine Motions ⋮ Affine structures on a class of virtually nilpotent groups ⋮ Finite extensions and unipotent shadows of affine crystallographic groups ⋮ The Lifting Problem for Affine Structures in Nilpotent Lie Groups ⋮ Representation of real solvable Lie algebras having 2-dimensional derived ideal and geometry of coadjoint orbits of corresponding Lie groups

Cites Work

• The structure of complete locally affine manifolds
• Examples of compact locally affine spaces

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