Hochschild Constructions for Green Functors

DOI10.1081/AGB-120016767zbMath1070.16010MaRDI QIDQ4803362

Serge Bouc

Publication date: 2 April 2003

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

zbMATH Keywords

Hochschild cohomologygroup cohomologyBurnside ringsMackey functorsGreen functors, Mackey algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)

Related Items (12)

On the Grothendieck rings of generalized Drinfeld doubles ⋮ Hochschild Cohomology Ring of the Integral Group Ring of the Semidihedral 2-Group ⋮ Crossed Burnside rings. II: The Dress construction of a Green functor ⋮ Generalized Burnside rings and group cohomology ⋮ On the structure and representations of non-balanced quantum doubles. ⋮ Induction formulae for Mackey functors with applications to representations of the twisted quantum double of a finite group ⋮ 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 ⋮ Products in Hochschild cohomology and Grothendieck rings of group crossed products. ⋮ On the Grothendieck rings of equivariant fusion categories

Cites Work

• Hochschild cohomology algebra of abelian groups
• The cohomology structure of an associative ring
• Tensor product of Hopf bimodules over a group
• The Hochschild Cohomology Ring of a Group Algebra

This page was built for publication: Hochschild Constructions for Green Functors