TL;DR
This paper computes the cohomology groups of a complex of free Lie algebras using the Guichardet construction, providing new insights into their algebraic structure.
Contribution
It applies the Guichardet construction to a complex of free Lie algebras, offering a novel computation of their cohomology groups.
Findings
Cohomology groups of the complex are explicitly computed.
The approach reveals structural properties of free Lie algebra complexes.
The method advances understanding of algebraic and homological aspects of free Lie algebras.
Abstract
Using the Guichardet construction, we compute the cohomology groups of a complex of free Lie algebras introduced by Alekseev and Torossian.
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