Derived Kan extension for strict polynomial functors
Marcin Cha{\l}upnik
TL;DR
This paper explores the properties of adjoint functors related to precomposition in the category of strict polynomial functors, providing insights into their structure and applications.
Contribution
It introduces the derived Kan extension for strict polynomial functors, advancing the understanding of their adjoint relationships and categorical properties.
Findings
Characterization of adjoint functors to precomposition
Development of the derived Kan extension framework
Enhanced understanding of strict polynomial functor categories
Abstract
We investigate fundamental properties of adjoint functors to the precomposition functor in the category of strict polynomial functors.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra