Transfer in Hochschild cohomology of blocks of finite groups

DOI10.1023/A:1009979222100zbMath0934.16010OpenAlexW1592570081MaRDI QIDQ1303796

Markus Linckelmann

Publication date: 9 April 2000

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009979222100

zbMATH Keywords

group algebrasfinite groupsdefect groupsblock idempotentssymmetric algebrasprincipal blocksHochschild cohomology ringschain complexestransfer mapscomplete discrete valuation rings

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Modular representations and characters (20C20) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (29)

On blocks with Frobenius inertial quotient. ⋮ Morita invariance for infinitesimal deformations ⋮ Invariance of the restricted \(p\)-power map on integrable derivations under stable equivalences ⋮ Becker-Gottlieb transfer for Hochschild cohomology ⋮ Cohomology algebras of 2-blocks of finite groups with defect groups of rank two. ⋮ Cohomology algebras of blocks of finite groups and Brauer correspondence. ⋮ Cohomology of block ideals of finite group algebras and stable elements. ⋮ Tate duality and transfer in Hochschild cohomology. ⋮ Support varieties for transporter category algebras. ⋮ Nontriviality of the first Hochschild cohomology of some block algebras of finite groups ⋮ A theorem of Mislin for cohomology of fusion systems and applications to block algebras of finite groups ⋮ Clifford's theorem for orbit categories ⋮ Stable invariance of the restricted Lie algebra structure of Hochschild cohomology ⋮ Restriction between cohomology algebras of blocks of finite groups. ⋮ On the Hilbert series of Hochschild cohomology of block algebras. ⋮ The representation dimension of Hecke algebras and symmetric groups. ⋮ Transfer maps in Hochschild (co)homology and applications to stable and derived invariants and to the Auslander–Reiten conjecture ⋮ On inverse categories and transfer in cohomology ⋮ Bockstein homomorphisms for Hochschild cohomology of group algebras and of block algebras of finite groups ⋮ On cohomology of saturated fusion systems and support varieties. ⋮ Vertex and source determine the block variety of an indecomposable module. ⋮ Finite-dimensional algebras arising as blocks of finite group algebras ⋮ Cohomology algebras of blocks of finite groups and Brauer correspondence. II. ⋮ Trivial source bimodule rings for blocks and $p$-permutation equivalences ⋮ Rigidity dimension of algebras ⋮ Quillen stratification for Hochschild cohomology of blocks ⋮ Varieties in block theory ⋮ Hochschild cohomology and Linckelmann cohomology for blocks of finite groups. ⋮ Quillen stratification for block varieties.

This page was built for publication: Transfer in Hochschild cohomology of blocks of finite groups