Derived Equivalences for Group Rings 1998 Edition Contributor(s): König, Steffen (Author), Keller, B. (Contribution by), Zimmermann, Alexander (Author) |
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ISBN: 3540643117 ISBN-13: 9783540643111 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: May 1998 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. |