Central idempotents of the bifree and left-free double Burnside ring

2012/08/14 by Robert Boltje, Boltje, Robert, Burkhard Külshammer +1
Mathematics · #19A22 #20C15 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.KT #math.RA #math.RT #msc:19A22 #msc:20C15

paper · pdf · doi:10.48550/arxiv.1208.2940

24 pages; minor changes; final version; to appear in Israel Journal of Mathematics

openalex publication_date 2012/08/14 · arxiv created 2013/12/04 · arxiv updated 2013/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the blocks, i.e., the primitive central idempotents, of the bifree double Burnside ring B^Δ(G,G) and the left-free double Burnside ring B^\trl(G,G), as well as the primitive central idempotents of the algebras arising from scalar extension to \QQ.

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