Derived Equivalences for Group Rings (Record no. 31121)

000 -LEADER
fixed length control field 02782nam a22004935i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540697480
-- 978-3-540-69748-0
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.2
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name König, Steffen.
245 10 - TITLE STATEMENT
Title Derived Equivalences for Group Rings
Statement of responsibility, etc by Steffen König, Alexander Zimmermann.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 1998.
300 ## - PHYSICAL DESCRIPTION
Number of Pages X, 246 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Group theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term K-theory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Group Theory and Generalizations.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term K-Theory.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Zimmermann, Alexander.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/BFb0096366
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 1998.
336 ## -
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337 ## -
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-- rdamedia
338 ## -
-- online resource
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347 ## -
-- text file
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
-- 0075-8434 ;
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK1827 http://dx.doi.org/10.1007/BFb0096366 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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