Tambarization of a Mackey functor and its application to the Witt-Burnside construction

DOI10.1016/j.aim.2011.04.015zbMath1225.19002arXiv1010.0812OpenAlexW2034393365MaRDI QIDQ549221

Hiroyuki Nakaoka

Publication date: 7 July 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0812

zbMATH Keywords

Mackey functorTambara functorGreen functorBrauer ringcrossed Burnside ringWitt-Burnside ring

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22)

Related Items

Biset transformations of Tambara functors ⋮ The spectrum of the Burnside Tambara functor on a finite cyclic \(p\)-group ⋮ On the fractions of semi-Mackey and Tambara functors ⋮ Ideals of Tambara functors ⋮ Categorical constructions related to finite groups

Cites Work

• The crossed Burnside rings. III: The Dress construction for a Tambara functor
• Witt vectors and Tambara functors
• The Burnside ring of profinite groups and the Witt vector construction
• Cohomological Mackey functors in number theory
• The Drinfeld center of the category of Mackey functors
• Structure of the Brauer ring of a field extension
• The Brauer ring of a field
• Hecke actions on Brauer groups
• Crossed Burnside rings. II: The Dress construction of a Green functor
• Constructing Witt-Burnside rings
• Tambara Functors on Profinite Groups and Generalized Burnside Functors
• On multiplicative transfer

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