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arXiv · 2607.18793

On free generators in the Grothendieck-Teichmüller Lie Algebra

Thomas Willwacher
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Abstract

We prove that any homogeneous family $σ_3,σ_5,\ldots$ in $\mathfrak{grt}_1(\mathbb K)$ with nonzero coefficients of $x^{2k}y$ in $σ_{2k+1}$ generates a free Lie subalgebra, building on the work of Brown.

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Thomas Willwacher. 2026-08-06. On free generators in the Grothendieck-Teichmüller Lie Algebra. https://arxiv.org/abs/2607.18793

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