Picard groups for blocks with normal defect groups and linear source bimodules

Autor:	Livesey, Michael, Marchi, Claudio
Rok vydání:	2020
Předmět:	Mathematics - Representation Theory 20C20 (Primary) 16D90 (Secondary)
Druh dokumentu:	Working Paper
Popis:	It is an open problem as to whether any bimodule inducing a Morita auto-equivalence of a block must have endopermutation source. We prove that, for blocks $b$ with normal defect groups in odd characteristic, a stronger result holds, namely that all such bimodules have linear source. We also prove the analogous result in characteristic $2$, provided that the defect group is of a specific, slightly restrictive, form.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2008.05857 Zobrazit plný text záznamu View this record from Arxiv