Blocks of group algebras are derived simple

2011/04/04 by Qunhua Liu, Dong Yang, Liu, Qunhua +1
Mathematics · #16E35 #16G30 #20C05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT #msc:16E35 #msc:16G30 #msc:20C05

paper · pdf · doi:10.48550/arxiv.1104.0500

8 pages

arxiv created 2011/04/04 · openalex publication_date 2011/04/04 · arxiv updated 2011/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A derived version of Maschke's theorem for finite groups is proved: the derived categories, bounded or unbounded, of all blocks of the group algebra of a finite group are simple, in the sense that they admit no nontrivial recollements. This result is independent of the characteristic of the base field.

Citations

• On torsion torsionfree triples

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