Permutation modules, Mackey functors, and Artin motives
Paul Balmer, Martin Gallauer
TL;DR
This paper explores the relationships between permutation modules, Mackey functors, and Artin motives, and discusses how a large derived category of permutation modules integrates into this framework.
Contribution
It provides a detailed explanation of the connections among the three concepts and situates the big derived category of permutation modules within this context.
Findings
Clarifies the links between permutation modules, Mackey functors, and Artin motives.
Integrates the big derived category of permutation modules into the theoretical framework.
Enhances understanding of the categorical structures involved.
Abstract
We explain in detail the connections between the three concepts in the title, and we discuss how the `big' derived category of permutation modules introduced in arXiv:2009.14093 fits into the picture.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra