Derived equivalences for group rings / / Steffen König, Alexander Zimmermann with contributions by Bernhard Keller

• Autore: König Steffen <1961->
• Pubblicazione: Berlin, Germany ; ; New York, New York : , : Springer, , [1998]; ©1998
• Edizione: 1st ed. 1998.
• Descrizione fisica: 1 online resource (X, 246 p.)
• Disciplina: 512.2
• Soggetto topico: Group rings; Algebra, Homological
• Persona (resp. second.): ZimmermannAlexander <1964->
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references (pages [233]-243) and index.
• Nota di contenuto: Basic definitions and some examples -- Rickard's fundamental theorem -- Some modular and local representation theory -- Onesided tilting complexes for group rings -- Tilting with additional structure: twosided tilting complexes -- Historical remarks -- On the construction of triangle equivalences -- Triangulated categories in the modular representation theory of finite groups -- The derived category of blocks with cyclic defect groups -- On stable equivalences of Morita type.
• Sommario/riassunto: 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.
• Titolo autorizzato: Derived equivalences for group rings
• ISBN: 3-540-69748-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910146300603321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1685.