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In this sectionLdenotes an enriched Lie algebra and \(\land V\) its quadratic Sullivan model. We proceed to a detailed study of the properties ofL-modules and their corresponding \(\land V\) -modules. A special interest will be given to the profreeL-models \(V\, \widehat {\otimes }\, \overline {UL}\) associated with an enriched vector spaceV .

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Representations of Enriched Lie Algebras

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  • 发表日期：

    2026年

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  • Yves Félix,
  • Steve Halperin

摘要

In this sectionLdenotes an enriched Lie algebra and \(\land V\) its quadratic Sullivan model. We proceed to a detailed study of the properties ofL-modules and their corresponding \(\land V\) -modules. A special interest will be given to the profreeL-models \(V\, \widehat {\otimes }\, \overline {UL}\) associated with an enriched vector spaceV .