Graded blocks of group algebras with dihedral defect groups

• Autorzy: Dusko Bogdanic
• Języki publikacji: EN

Abstrakty

EN

We investigate gradings on tame blocks of group algebras whose defect groups are dihedral. For this subfamily of tame blocks we classify gradings up to graded Morita equivalence, we transfer gradings via derived equivalences, and we check the existence, positivity and tightness of gradings. We classify gradings by computing the group of outer automorphisms that fix the isomorphism classes of simple modules.

Kategorie tematyczne

• 18E30: Derived categories, triangulated categories
• 20C20: Modular representations and characters
• 16W50: Graded rings and modules

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 122
• Numer: 2
• Strony: 149-176

Daty

wydano

2011

Twórcy

autor

Dusko Bogdanic

• Mathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, United Kingdom

Identyfikatory

DOI

10.4064/cm122-2-1