The structures of bi-symmetric algebras and their sub-adjacent lie algebras

DOI10.1080/00927870008826988zbMath0966.17001OpenAlexW1967111780MaRDI QIDQ4487350

Cheng-Ming Bai, Dao Ji Meng

Publication date: 14 August 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008826988

zbMATH Keywords

left-symmetric algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Nonassociative algebras satisfying other identities (17A30)

Related Items (12)

A folded Laplace distribution ⋮ Characterizations of folded Student's \(t\) distribution ⋮ Left-symmetric algebras from linear functions ⋮ On Real Simple Left-symmetric Algebras ⋮ The Frattini subalgebra of \(n\)-Lie algebras ⋮ The Socle of a Metricn-Lie Algebra ⋮ The structure of assosymmetric algebras ⋮ Refinement of Ado's Theorem in Low Dimensions and Application in Affine Geometry ⋮ The Riccati and Ermakov-Pinney hierarchies ⋮ Bijective 1-Cocycles and Classification of 3-Dimensional Left-Symmetric Algebras ⋮ On the Novikov algebra structures adapted to the automorphism structure of a Lie group. ⋮ A Lie algebraic approach to Novikov algebras.

Cites Work

• Unnamed Item
• Radical d'une algèbre symétrique à gauche
• On assosymmetric rings
• On bi-symmetric algebras
• Left-invariant affine structures on reductive Lie groups
• A basis for free assosymmetric algebras
• A Class of Rings Which are Very Nearly Associative
• Introduction to Lie Algebras and Representation Theory

This page was built for publication: The structures of bi-symmetric algebras and their sub-adjacent lie algebras