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A profree dgl is a dgl \((L,\partial )\) , whereLis a profree Lie algebra. A profree dgl model of an enriched dgl \((L,\partial )\) is a profree dgl \((\overline {\mathbb L}_V,\partial )\) quasi-isomorphic to \((L,\partial )\) . It is minimal if \(\partial (V)\subset \mathbb L^{\geq 2}_V\) . We prove that each enriched dgl admits a unique, up to isomorphism, minimal profree dgl model.

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Profree dgl’s and Profree dgl Models

  • 章节

  • 发表日期：

    2026年

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  • Yves Félix,
  • Steve Halperin

摘要

A profree dgl is a dgl \((L,\partial )\) , whereLis a profree Lie algebra. A profree dgl model of an enriched dgl \((L,\partial )\) is a profree dgl \((\overline {\mathbb L}_V,\partial )\) quasi-isomorphic to \((L,\partial )\) . It is minimal if \(\partial (V)\subset \mathbb L^{\geq 2}_V\) . We prove that each enriched dgl admits a unique, up to isomorphism, minimal profree dgl model.