On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks

Inbunden, Engelska, 1999

AvLluis Puig

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Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and one, and by providing some evidence for the finiteness of the set of blocks with a given defect.

Produktinformation

Utgivningsdatum1999-07-01
Mått155 x 235 x 21 mm
Vikt582 g
FormatInbunden
SpråkEngelska
SerieProgress in Mathematics
Antal sidor261
Upplaga1999
FörlagBirkhauser Verlag AG
ISBN9783764361563

Tillhör följande kategorier

1 Introduction.- 2 General notation, terminology and quoted results.- 3 Noninjective induction of OG-interior algebras.- 4 Hecke OG-interior algebras and noninjective induction.- 5 On the local structure of Hecke OG-interior algebras.- 6 Morita stable equivalences between Brauer blocks.- 7 Basic Morita stable equivalences between Brauer blocks.- 8 The Morita stable equivalent class of a nilpotent block.- 9 The differential Z-grading O-algebra.- 10 DG-modules.- 11 D-algebras and DG-interior algebras.- 12 Induction of DG-interior algebras.- 13 Brauer sections in basic induced DG-interior algebras.- 14 Pointed groups on DG>-interior algebras and Higman embeddings.- 15 Hecke DG-interior algebras and noninjective induction.- 16 On the local structure of Hecke DG-interior algebras.- 17 Brauer sections in basic Hecke DG-interior algebras.- 18 Rickard equivalences between Brauer blocks.- 19 Basic Rickard equivalences between Brauer blocks.- References.

"The author investigates the behavior of the local structure of a block under Morita equivalences, stable equivalences of Morita type (called Morita stable equivalences here) and Rickard equivalences. The local structure of a block is expressed mainly in terms of its local category (consisting of local pointed groups and their exomorphisms), its Brauer category (consisting of Brauer pairs and their exomorphisms) and its source algebra."–Zentralblatt Math