On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture

Autor:	Kessar, Radha
Rok vydání:	2010
Předmět:	Mathematics - Group Theory Mathematics - Representation Theory 20C20 16D90
Druh dokumentu:	Working Paper
DOI:	10.1112/jlms/jdr047
Popis:	Using a stable equivalence due to Rouquier, we prove that Broue's abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of simple modules. The proof makes use of the fact, also due to Rouquier, that a stable equivalence of Morita type between self-injective algebras induces an isomorphism between the connected components of the outer automorphism groups of the algebras. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1012.0534 Zobrazit plný text záznamu View this record from Arxiv