The Hecke Algebra of a Frobenius P-Category

DOI10.1142/S1005386714000029zbMath1309.19003arXiv1101.1288MaRDI QIDQ5396025

Lluis Puig

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1101.1288

zbMATH Keywords

Burnside ringHecke algebraFrobenius categoryfusion systemdouble Burnside ring

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Finite nilpotent groups, (p)-groups (20D15) Frobenius induction, Burnside and representation rings (19A22) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (1)

Existence, Uniqueness and Functoriality of the Perfect Locality over a Frobenius P-Category

Cites Work

• Functors on categories of finite group representations
• Saturated fusion systems as idempotents in the double Burnside ring.
• Classifying spectra of saturated fusion systems
• Centralizers of Abelian normal subgroups of p-groups

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