2000 character limit reached
On the free Lie-Yamaguti algebra (2408.10815v3)
Published 20 Aug 2024 in math.RA and math.DG
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.