---

＜E-Book＞
Derived Equivalences for Group Rings / by Steffen König, Alexander Zimmermann
(Lecture Notes in Mathematics. ISSN:16179692 ; 1685)

Edition	1st ed. 1998.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1998
Language	English
Size	X, 246 p : online resource
Authors	*König, Steffen author Zimmermann, Alexander author SpringerLink (Online service)
Subjects	LCSH:Group theory LCSH:K-theory FREE:Group Theory and Generalizations FREE:K-Theory
Notes	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 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 HTTP:URL=https://doi.org/10.1007/BFb0096366

 Similar Items