Stratifications and Mackey Functors II: Globally Defined Mackey Functors

DOI10.1017/is009010011jkt095zbMath1243.20014OpenAlexW2098620670MaRDI QIDQ3161537

Peter J. Webb

Publication date: 15 October 2010

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/is009010011jkt095

zbMATH Keywords

Morita equivalencesgroup algebrasBurnside ringsfiltrationsquasi-hereditary algebraspermutation modulesstratificationshighest weight categoriesbisetsglobally defined Mackey functorsRingel dualscategories of Mackey functorsprojective Mackey functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Grothendieck groups, (K)-theory, etc. (16E20) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Frobenius induction, Burnside and representation rings (19A22)

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A ghost algebra of the double Burnside algebra in characteristic zero ⋮ Idempotents of double Burnside algebras, \(L\)-enriched bisets, and decomposition of \(p\)-biset functors ⋮ Blocks of Mackey categories ⋮ Twisted split category algebras as quasi-hereditary algebras. ⋮ Around evaluations of biset functors ⋮ Projective resolutions of globally defined Mackey functors in characteristic zero ⋮ Simple biset functors and double Burnside ring ⋮ Composition factors of functors ⋮ A ghost ring for the left-free double Burnside ring and an application to fusion systems ⋮ On primordial groups for the Green ring ⋮ Obstructions for gluing biset functors ⋮ Inducing native Mackey functors to biset functors ⋮ Quasi-hereditary structure of twisted split category algebras revisited. ⋮ Quasi-hereditary property of double Burnside algebras ⋮ A General Approach to Green Functors Using Bisets

Cites Work

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