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Derived Equivalences for Group Rings (Lecture Notes in Mathematics) [Paperback]

Steffen K�nig (Author), Alexander Zimmermann (Author), B. Keller (Contributor), M. Linckelmann (Contributor), J. Rickard (Contributor), R. Rouquier (Contributor)

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Book Description

Publication Date: October 15, 1998 | Series: Lecture Notes in Mathematics (Book 1685)

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.

#outer_postBodyPS { display: none; } #psGradient { display: none; } #psPlaceHolder { display: none; } #psExpand { display: none; } 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.

Product Details

Paperback: 246 pages
Publisher: Springer; 1 edition (October 15, 1998)
Language: English
ISBN-10: 3540643117
ISBN-13: 978-3540643111
Product Dimensions: 9 x 6 x 0.6 inches
Shipping Weight: 14.4 ounces (View shipping rates and policies)
Amazon Best Sellers Rank: #4,838,730 in Books (See Top 100 in Books)

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66 books cite this book:

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