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- catalog abstract "A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications.".
- catalog contributor b10856598.
- catalog contributor b10856599.
- catalog created "1998.".
- catalog date "1998".
- catalog date "1998.".
- catalog dateCopyrighted "1998.".
- catalog description "A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Introduction -- Basic definitions and examples -- Rickard's fundamental theorem -- Some modular and local representation theory -- One-sided tilting complexes for group rings -- Tilting with additional structure : Two-sided tilting complexes -- Historical remarks -- Bernhard Keller: On the construction of triangle equivalences -- Jeremy Rickard: Triangulated categories in the modular representation theory of finite groups -- Raphael Rouquier: The derived category of blocks with cyclic defect groups -- Markus Linckelmann: On stable equivalences of Morita type.".
- catalog extent "x, 246 p. :".
- catalog hasFormat "Derived equivalences for group rings.".
- catalog identifier "3540643117 (softcover : alk. paper)".
- catalog isFormatOf "Derived equivalences for group rings.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1685.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1685".
- catalog issued "1998".
- catalog issued "1998.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Derived equivalences for group rings.".
- catalog subject "510 s 512/.2 21".
- catalog subject "Algebra, Homological.".
- catalog subject "Group rings.".
- catalog subject "Group theory.".
- catalog subject "K-theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1685 QA174.2".
- catalog tableOfContents "Introduction -- Basic definitions and examples -- Rickard's fundamental theorem -- Some modular and local representation theory -- One-sided tilting complexes for group rings -- Tilting with additional structure : Two-sided tilting complexes -- Historical remarks -- Bernhard Keller: On the construction of triangle equivalences -- Jeremy Rickard: Triangulated categories in the modular representation theory of finite groups -- Raphael Rouquier: The derived category of blocks with cyclic defect groups -- Markus Linckelmann: On stable equivalences of Morita type.".
- catalog title "Derived equivalences for group rings / Steffen König, Alexander Zimmermann ; with contributions by Bernhard Keller ... [et al.].".
- catalog type "text".