paper

On the free Lie-Yamaguti algebra

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.

arXiv commentMain result is incorrect. Could possibly be rephrased to a weaker result, but it would not be of much interest