Homotopy theory of Lie functors
Roman Mikhailov
TL;DR
This paper explores the homotopy-theoretic properties of Lie functors, providing a detailed description of their derived functors specifically for free abelian groups, advancing the understanding of their algebraic and topological structure.
Contribution
It offers a novel homotopy-theoretic analysis of Lie functors and explicitly describes their derived functors for free abelian groups, filling a gap in the existing literature.
Findings
Derived functors of Lie functors are explicitly described for free abelian groups.
Provides new insights into the homotopy-theoretic aspects of Lie algebraic structures.
Enhances understanding of the algebraic topology related to Lie functors.
Abstract
A description of the derived functors of Lie functors for free abelian groups is given.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models