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• catalog abstract ""This book describes the source algebra of a block from the source algebra of a Rickard equivalent block and the source of the Rickard equivalence. This description requires a new induction procedure and the introduction of suitable graded differential algebras. It leads to strong consequences such as the facts that the nilpotent blocks form a union of classes and that the basic Rickard equivalences preserve defect groups and Brauer categories." "Although the book reaches the most advanced level, a special effort has been made to make it accessible to graduate students interested in finite groups or noncommutative algebras. A full chapter is devoted to reviewing the terminology, and the particular case of Morita equivalences is discussed separately, as an introduction. Two appendices, one on Weiss's criterion for permutation modules and the other on tensor induction of graded differential algebras, are of interest on their own."--Jacket.".
• catalog contributor b11365306.
• catalog created "c1999.".
• catalog date "1999".
• catalog date "c1999.".
• catalog dateCopyrighted "c1999.".
• catalog description ""Although the book reaches the most advanced level, a special effort has been made to make it accessible to graduate students interested in finite groups or noncommutative algebras. A full chapter is devoted to reviewing the terminology, and the particular case of Morita equivalences is discussed separately, as an introduction. Two appendices, one on Weiss's criterion for permutation modules and the other on tensor induction of graded differential algebras, are of interest on their own."--Jacket.".
• catalog description ""This book describes the source algebra of a block from the source algebra of a Rickard equivalent block and the source of the Rickard equivalence. This description requires a new induction procedure and the introduction of suitable graded differential algebras. It leads to strong consequences such as the facts that the nilpotent blocks form a union of classes and that the basic Rickard equivalences preserve defect groups and Brauer categories."".
• catalog description "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. D G-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.".
• catalog description "Includes bibliographical references (p. [259]-260) and index.".
• catalog extent "260 p. ;".
• catalog hasFormat "On the local structure of Morita and Rickard equivalences between Brauer blocks.".
• catalog identifier "0817661565 (acid-free paper)".
• catalog identifier "3764361565 (acid-free paper)".
• catalog isFormatOf "On the local structure of Morita and Rickard equivalences between Brauer blocks.".
• catalog isPartOf "Progress in mathematics (Boston, Mass.) ; v. 178.".
• catalog isPartOf "Progress in mathematics ; v. 178".
• catalog issued "1999".
• catalog issued "c1999.".
• catalog language "eng".
• catalog publisher "Basel ; Boston : Birkhäuser,".
• catalog relation "On the local structure of Morita and Rickard equivalences between Brauer blocks.".
• catalog subject "512/.2 21".
• catalog subject "Finite groups.".
• catalog subject "QA177 .P85 1999".
• catalog subject "Representations of groups.".
• catalog tableOfContents "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. D G-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.".
• catalog title "On the local structure of Morita and Rickard equivalences between Brauer blocks / Lluís Puig.".
• catalog type "text".