Crossed Burnside rings. II: The Dress construction of a Green functor

DOI10.1016/j.jalgebra.2004.07.040zbMath1066.19001OpenAlexW2084736092MaRDI QIDQ1888803

Tomoyuki Yoshida, Fumihito Oda

Publication date: 29 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.07.040

zbMATH Keywords

representation ringGreen functorcrossed Burnside ring

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Frobenius induction, Burnside and representation rings (19A22)

Related Items (8)

Generalized Burnside rings and group cohomology ⋮ Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group ⋮ Tensor induction for \(M\)-Burnside rings ⋮ Categorical constructions related to finite groups ⋮ Crossed Burnside rings and Bouc's construction of Green functors ⋮ The crossed Burnside ring, the Drinfel'd double, and the Dade group of a \(p\)-group ⋮ The crossed Burnside rings. III: The Dress construction for a Tambara functor ⋮ Tambarization of a Mackey functor and its application to the Witt-Burnside construction

Cites Work

• Green functors and \(G\)-sets
• The \(p\)-blocks of the Mackey algebra
• The representation ring of the quantum double of a finite group
• Some remarks on G-functors and the Brauer morphism.
• The Hochschild Cohomology Ring of a Group Algebra
• Hochschild Constructions for Green Functors
• The Structure of Mackey Functors
• Crossed Burnside rings. I: The fundamental theorem
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