On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks: 178 (Progress in Mathematics, 178) - Hardcover
Synopsis
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. In 1959 he discovered the defect group, and in 1964 Dade determined the blocks with cyclic defect groups.
In 1978 Alperin and Broué discovered the Brauer category, and Broué and the author determined the blocks having a nilpotent Brauer category. In 1979, the author discovered the source algebra which determines all the other current invariants, representing faithfully the block – and found its structure in the nilpotent blocks. Recently, the discovery by Rickard that all blocks with the same cyclic defect group and the same Brauer category have the same homotopic category focussed great interest on the new, loose relationship between blocks called Rickard equivalence.
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.
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Review
"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
Synopsis
This text gives a description of the source algebra of a Brauer block which has been discovered by the author. It should be of interest to researchers and postgraduate students interested in finite groups or noncommutative algebras.
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On the local structure of Morita and Rickard equivalences between Brauer blocks Lluís Puig. Progress in mathematics 178.
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Basel, Birkhäuser Verlag, 1999
ISBN 10: 3764361565
ISBN 13: 9783764361563
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ON THE LOCAL STRUCTURE OF MORITA AND RICKARD EQUIVALENCES BETWEEN BRAUER BLOCKS (HB 1999)
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On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. In 1959 he discovered the defect group, and in 1964 Dade determined the blocks with cyclic defect groups.In 1978 Alperin and Broué discovered the Brauer category, and Broué and the author determined the blocks having a nilpotent Brauer category. In 1979, the author discovered the source algebra which determines all the other current invariants, representing faithfully the block - and found its structure in the nilpotent blocks. Recently, the discovery by Rickard that all blocks with the same cyclic defect group and the same Brauer category have the same homotopic category focussed great interest on the new, loose relationship between blocks called Rickard equivalence.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. 276 pp. Englisch. Seller Inventory # 9783764361563
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On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks (Progress in Mathematics, 178)
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On the local structure of Morita and Rickard equivalences between Brauer blocks Lluís Puig. Progress in mathematics 178.
Published by
Basel, Birkhäuser Verlag, 1999
ISBN 10: 3764361565
ISBN 13: 9783764361563
Used
Hardcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 20 PUI 9783764361563 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2506963