The Akivis algebra of a homogeneous loop

DOI10.1112/S0025579300013905zbMath0601.22002MaRDI QIDQ3735962

Karl Strambach, Karl Heinrich Hofmann

Publication date: 1986

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

Lie groupreductive homogeneous spacereductive subalgebrasAkivis algebraanalytic loopslocal Lie loop

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Topological and differentiable algebraic systems (22A99) Other nonassociative rings and algebras (17D99)

Related Items (4)

On Enveloping Lie Algebras of Hyporeductive Triple Algebras ⋮ Quasigroups ⋮ Algebra and geometry of three-webs composed of foliations of different dimensions ⋮ Local algebras of a differential quasigroup

Cites Work

• Local algebras of a multidimensional three-web
• Multiplications on homogeneous spaces, nonassociative algebras and connections
• Invariant Affine Connections on Homogeneous Spaces

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