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On the free Lie-Yamaguti algebra

Published 20 Aug 2024 in math.RA and math.DG | (2408.10815v3)

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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