A local property of basic Morita equivalences.

DOI10.1007/s00209-006-0084-1zbMath1137.20002OpenAlexW1968697576MaRDI QIDQ2466803

Yuanyang Zhou, Lluis Puig

Publication date: 16 January 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-006-0084-1

zbMATH Keywords

Morita equivalencesfinite groupsdefect groupsblock idempotentsblock algebraspointed groupsPuig equivalences

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

Conjectural invariance with respect to the fusion system of an almost-source algebra, Remarks on the extended Brauer quotient, Basic Morita equivalences and isotypies, Group graded basic Morita equivalences, The extended Brauer quotient of \(N\)-interior \(G\)-algebras., Isomorphisms of fusion subcategories on permutation algebras, On some saturated triples and hyperfocal subgroups, A note on the basic Morita equivalences., Fusions and Clifford extensions, A local property of basic Rickard equivalences., Group graded basic Morita equivalences and the Harris-Knörr correspondence

Cites Work

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• Local fusions in block source algebras
• Nilpotent blocks and their source algebras
• Pointed groups and construction of modules
• Pointed groups and construction of characters
• On the local structure of Morita and Rickard equivalences between Brauer blocks
• Extensions of nilpotent blocks
• Source algebras of \(p\)-central group extensions
• Basic Morita equivalences at local levels.