Left-symmetric algebras from linear functions

DOI10.1016/j.jalgebra.2004.06.036zbMath1117.17001arXivmath/0406325OpenAlexW2048435052MaRDI QIDQ1887480

Cheng-Ming Bai

Publication date: 26 November 2004

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

Full work available at URL: https://arxiv.org/abs/math/0406325

zbMATH Keywords

Lie algebraLeft-symmetric algebraLinear function

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30)

Related Items (10)

On Real Simple Left-symmetric Algebras ⋮ Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras ⋮ Biderivations of the twisted Heisenberg–Virasoro algebra and their applications ⋮ A left-symmetric algebraic approach to left invariant flat (pseudo-)metrics on Lie groups ⋮ Generating index of finite-dimensional Lie algebras ⋮ LEFT-SYMMETRIC BIALGEBRAS AND AN ANALOGUE OF THE CLASSICAL YANG–BAXTER EQUATION ⋮ Some non-abelian phase spaces in low dimensions ⋮ Refinement of Ado's Theorem in Low Dimensions and Application in Affine Geometry ⋮ The Riccati and Ermakov-Pinney hierarchies ⋮ A FURTHER STUDY ON NON-ABELIAN PHASE SPACES: LEFT-SYMMETRIC ALGEBRAIC APPROACH AND RELATED GEOMETRY

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