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Author:   Lluis Puig
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1999 ed.
Volume:   178
Weight:   0.600kg
ISBN:  

9783764361563

ISBN 10:   3764361565
Pages:   261
Publication Date:   01 July 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

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.

Reviews

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

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. <p>a Zentralblatt Math

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