Varieties in block theory

DOI10.1006/jabr.1998.7724zbMath0960.20008OpenAlexW2087646340MaRDI QIDQ1295929

Markus Linckelmann

Publication date: 10 May 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7724

zbMATH Keywords

finite groupsfinitely generated modulescohomological varietiescohomology ringsderived equivalencesprincipal blocksbounded complexes

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05)

Related Items (19)

An extension of Watanabe's theorem for the Isaacs-Horimoto-Watanabe corresponding blocks. ⋮ The Hochschild Cohomology Ring of a One Point Extension ⋮ Bimodule resolution of a group algebra. ⋮ Cohomology algebras of blocks of finite groups and Brauer correspondence. ⋮ Support varieties for transporter category algebras. ⋮ A theorem of Mislin for cohomology of fusion systems and applications to block algebras of finite groups ⋮ Restriction between cohomology algebras of blocks of finite groups. ⋮ On the Hilbert series of Hochschild cohomology of block algebras. ⋮ Blocks and support varieties. ⋮ Hochschild and ordinary cohomology rings of small categories ⋮ On inverse categories and transfer in cohomology ⋮ Tensor structure on kC-mod and 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. ⋮ Cohomology algebras of blocks of finite groups and Brauer correspondence. II. ⋮ Quillen stratification for Hochschild cohomology of blocks ⋮ Hochschild cohomology and Linckelmann cohomology for blocks of finite groups. ⋮ Quillen stratification for block varieties.

Cites Work

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