On the free Lie-Yamaguti algebra

2024/08/20 by Stava, Jonatan · 1 citation
#17A50 (Primary) 17A30 #53C05 #53C30 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2408.10815

Abstract

Lie Yamaguti algebras appear naturally on the smooth sections of the tangent bundle of a reductive homogeneous space when we interpret the torsion and curvature as algebraic operators. In this article we present a description of the free Lie Yamaguti algebra.

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• Yamaguti algebras and noncrossing partitions

Related

• Irreducible Lie-Yamaguti algebras
• Irreducible Lie-Yamaguti algebras of Generic Type
• Lie-Yamaguti Algebra Bundle
• Reductive homogeneous spaces of the compact Lie group G₂
• Deformation Cohomology of Lie-Yamaguti algebras and Free Lie-Yamaguti algebras