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Derived Equivalences for Group Rings 1998 Edition
Contributor(s): König, Steffen (Author), Keller, B. (Contribution by), Zimmermann, Alexander (Author)
ISBN: 3540643117     ISBN-13: 9783540643111
Publisher: Springer
OUR PRICE:   $52.24  
Product Type: Paperback
Published: May 1998
Qty:
Annotation: 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, BrouA(c)'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.
Additional Information
BISAC Categories:
- Mathematics | Group Theory
- Mathematics | Algebra - Abstract
- Mathematics | Algebra - General
Dewey: 512.2
LCCN: 98018552
Series: Lecture Notes in Mathematics
Physical Information: 0.55" H x 6.14" W x 9.21" (0.81 lbs) 246 pages
 
Descriptions, Reviews, Etc.
Publisher 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, Brou '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.