Homology of the completion of a Lie algebra
Yves F\'elix, Aniceto Murillo
TL;DR
This paper proves that the second homology group of the completion of an infinite dimensional free Lie algebra is uncountably infinite, revealing complex topological properties of such algebraic structures.
Contribution
It establishes the uncountability of the second homology group for the completion of infinite dimensional free Lie algebras, a novel result in Lie algebra homology.
Findings
Second homology group is uncountable
Completion of infinite dimensional free Lie algebra has complex homological properties
Advances understanding of algebraic topology in infinite-dimensional Lie algebras
Abstract
We prove that the second homology group of the completion of an infinite dimensional free Lie algebra is uncountable.
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