Derived equivalences for group rings
Author(s)
Bibliographic Information
Derived equivalences for group rings
(Lecture notes in mathematics, 1685)
Springer, c1998
Available at / 92 libraries
-
410.8//L49//726215100121597,15100129921,15100140472,15100146685,15100149135,15100152444,15100160157,15100172624
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1685RM980604
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:512/K8362070438831
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. [233]-243) and index
Description and Table of Contents
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, Broue'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.
Table of Contents
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.
by "Nielsen BookData"