test_moissonnage_selune
type: Agent

Simple biset functors and double Burnside rings
type: Distribution
access URL: https://hal.science/hal-00675555
format: HTML
issued: 2026-05-26T04:29:53.316045
modified: 2026-05-26T04:29:53.276484

Simple biset functors and double Burnside rings
type: Dataset
contact point: Organization
  fn: CCSD
keyword: preprints-working-papers-
keyword: 19a22-20c20
keyword: infoeu-reposemanticspreprint
keyword: mathmath-grmathematics-mathgroup-theory-mathgr
keyword: burnside-ring
keyword: biset
keyword: simple-module
landing page: https://hal.science/hal-00675555
description: Let G be a finite group and let k be a field. Our purpose is to investigate the simple modules for the double Burnside ring kB(G,G). It turns out that they are evaluations at G of simple biset functors. For a fixed finite group H, we introduce a suitable bilinear form on kB(G,H) and we prove that the quotient of kB(-,H) by the radical of the bilinear form is a semi-simple functor. This allows for a description of the evaluation of simple functors, hence of simple modules for the double Burnside ring.
issued: 2026-05-26T04:29:53.306548
language: en
modified: 2026-05-26T04:29:53.306555