Biset Functors as Module Mackey Functors and its Relation to Derivators

DOI10.1080/00927872.2016.1147572zbMath1348.18010arXiv1601.06193OpenAlexW2261711942MaRDI QIDQ2827240

Hiroyuki Nakaoka

Publication date: 12 October 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06193

zbMATH Keywords

Mackey functorbiset functorderivator

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22) Category of groups (20J15)

Related Items (2)

Green 2-functors ⋮ A Mackey-functor theoretic interpretation of biset functors

Cites Work

• Unnamed Item
• Mackey functors and bisets.
• A Mackey-functor theoretic interpretation of biset functors
• Partial Tambara structure on the Burnside biset functor, induced from a derivator-like system of adjoint triplets
• Biset functors for finite groups
• Cohomological direct images in model categories
• Derivators, pointed derivators and stable derivators
• Simple modules over Green biset functors
• Inducing native Mackey functors to biset functors
• Fused Mackey functors
• Monoidal Functors, Species and Hopf Algebras

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