Book contents
- Frontmatter
- Table of Contents
- List of Contributors
- Preface
- Frontispiece
- 1 Comparing Dualities in the K(n)-local Category
- 2 Axiomatic Representation Theory of Finite Groups by way of Groupoids
- 3 Chromatic Fracture Cubes
- 4 An Introduction to Algebraic Models for Rational G–Spectra
- 5 Monoidal Bousfield Localizations and Algebras over Operads
- 6 Stratification and Duality for Unipotent Finite Supergroup Schemes
- 7 Bi-incomplete Tambara Functors
- 8 Homotopy Limits of Model Categories, Revisited
2 - Axiomatic Representation Theory of Finite Groups by way of Groupoids
Published online by Cambridge University Press: 29 October 2021
Book contents
- Frontmatter
- Table of Contents
- List of Contributors
- Preface
- Frontispiece
- 1 Comparing Dualities in the K(n)-local Category
- 2 Axiomatic Representation Theory of Finite Groups by way of Groupoids
- 3 Chromatic Fracture Cubes
- 4 An Introduction to Algebraic Models for Rational G–Spectra
- 5 Monoidal Bousfield Localizations and Algebras over Operads
- 6 Stratification and Duality for Unipotent Finite Supergroup Schemes
- 7 Bi-incomplete Tambara Functors
- 8 Homotopy Limits of Model Categories, Revisited
Summary
We survey several notions of Mackey functors and biset functors found in the literature and prove some old and new theorems comparing them. While little here will surprise the experts, we draw a conceptual and unified picture by making systematic use of finite groupoids. This provides a ‘road map’ for the various approaches to the axiomatic representation theory of finite groups, as well as some details that are hard to find in the literature.
- Type
- Chapter
- Information
- Equivariant Topology and Derived Algebra , pp. 39 - 99Publisher: Cambridge University PressPrint publication year: 2021
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