Local fusions in block source algebras
From MaRDI portal
Publication:1084499
DOI10.1016/0021-8693(86)90221-8zbMath0606.20016OpenAlexW2027218654MaRDI QIDQ1084499
Publication date: 1986
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(86)90221-8
group ringssource algebrasverticessourcesmodule categoriesblock algebrageneralized decomposition numbersG-exomorphismsinterior G-algebralocal fusion categorylocal pointed groups
Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)
Related Items
Fusion category algebras. ⋮ On the $p’$-extensions of inertial blocks ⋮ \(G\)-algebras, Clifford theory, and the Green correspondence ⋮ Nilpotent blocks and their source algebras ⋮ Une correspondance de modules pour les blocs à groupes de défaut abéliens. (A module correspondence for the blocks of groups with abelian defect) ⋮ Pointed groups and construction of modules ⋮ Relative local control and the block source algebras ⋮ Conjectural invariance with respect to the fusion system of an almost-source algebra ⋮ Inertial blocks and equivariant basic Morita equivalences ⋮ On Picard groups of blocks of finite groups ⋮ Group graded basic Morita equivalences ⋮ On blocks with trivial source simple modules. ⋮ Stable unital bases, hyperfocal subalgebras and basic Morita equivalences ⋮ Linear source invertible bimodules and Green correspondence ⋮ Nilpotent extensions of blocks. ⋮ A note on the basic Morita equivalences. ⋮ A local property of basic Morita equivalences. ⋮ Fusions and Clifford extensions ⋮ On the reduction of Alperin's conjecture to the quasi-simple groups. ⋮ The Solomon system \({\mathcal F}_{\text{Sol}}(3)\) does not occur as fusion system of a 2-block. ⋮ Hyperfocal subalgebras of source algebras of blocks over small-ground fields. ⋮ Vertex and source determine the block variety of an indecomposable module. ⋮ On splendid derived and stable equivalences between blocks and finite groups ⋮ Basic Morita equivalences at local levels. ⋮ Trivial source bimodule rings for blocks and $p$-permutation equivalences ⋮ Extensions of nilpotent blocks over arbitrary fields. ⋮ On equivalences for cohomological Mackey functors ⋮ Defects of irreducible characters of \(p\)-soluble groups ⋮ Extensions of nilpotent blocks ⋮ Block source algebras in \(p\)-solvable groups. ⋮ Modules in the sources of Green's exact sequences for cyclic blocks ⋮ Source algebras of \(p\)-central group extensions ⋮ Varieties in block theory ⋮ Weight Parameterization of Simple Modules for p-Solvable Groups ⋮ On stable equivalences with endopermutation source. ⋮ Morita equivalences related to the Glauberman correspondence. ⋮ Diagonal \(p\)-permutation functors, semisimplicity, and functorial equivalence of blocks ⋮ The parametrization of interior algebras ⋮ On Thévenaz' parametrization of interior \(G\)-algebras ⋮ Parameterization of Irreducible Characters for p-Solvable Groups
Cites Work
This page was built for publication: Local fusions in block source algebras
