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By a generalization of the standard cochain construction, we associate a quadratic Sullivan algebra \((\land V,d)\) with any enriched Lie algebraLwith the property that the suspension ofLis isomorphic to Hom( \(V,\mathbb Q\) ). The relations betweenLand its quadratic Sullivan model will be very useful in the next chapters.

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The Quadratic Sullivan Model of an Enriched Lie Algebra

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  • 发表日期：

    2026年

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  • Yves Félix,
  • Steve Halperin

摘要

By a generalization of the standard cochain construction, we associate a quadratic Sullivan algebra \((\land V,d)\) with any enriched Lie algebraLwith the property that the suspension ofLis isomorphic to Hom( \(V,\mathbb Q\) ). The relations betweenLand its quadratic Sullivan model will be very useful in the next chapters.