Derived Equivalences for Group Rings / / by Steffen König, Alexander Zimmermann
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| Autore: |
König Steffen <1961->
|
| Titolo: |
Derived Equivalences for Group Rings / / by Steffen König, Alexander Zimmermann
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 |
| Edizione: | 1st ed. 1998. |
| Descrizione fisica: | 1 online resource (X, 246 p.) |
| Disciplina: | 512.2 |
| Soggetto topico: | Group theory |
| K-theory | |
| Group Theory and Generalizations | |
| K-Theory | |
| 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 |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 1617-9692 ; ; 1685