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Representations of Finite Groups: Local Cohomology and Support (Record no. 23435)

000 -LEADER
fixed length control field 03876nam a22004575i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151452.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 111114s2012 sz | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783034802604
978-3-0348-0260-4
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA174-183
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.2
Edition number 23
264 #1 -
-- Basel :
-- Springer Basel,
-- 2012.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Benson, David J.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Representations of Finite Groups: Local Cohomology and Support
Medium [electronic resource] /
Statement of responsibility, etc by David J. Benson, Srikanth Iyengar, Henning Krause.
300 ## - PHYSICAL DESCRIPTION
Extent X, 105p.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Oberwolfach Seminars ;
Volume number/sequential designation 43
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- 1 Monday -- 1.1 Overview -- 1.2 Modules over group algebras -- 1.3 Triangulated categories -- 1.4 Exercises -- 2 Tuesday -- 2.1 Perfect complexes over commutative rings -- 2.2 Brown representability and localization -- 2.3 The stable module category of a finite group -- 2.4 Exercises -- 3 Wednesday -- 3.1 -- 3.2 Koszul objects and support -- 3.3 The homotopy category of injectives -- 3.4 Exercises -- 4 Thursday -- 4.1 Stratifying triangulated categories -- 4.2 Consequences of stratification -- 4.3 The Klein four group -- 4.4 Exercises -- 5 Friday -- 5.1 Localising subcategories of D(A) -- 5.2 Elementary abelian 2-groups -- 5.3 Stratification for arbitrary finite groups -- 5.4 Exercises -- A Support for modules over commutative rings -- Bibliography -- Index.
520 ## - SUMMARY, ETC.
Summary, etc The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas from commutative algebra, cohomology of groups, and stable homotopy theory. The unifying theme is a notion of support which provides a geometric approach for studying various algebraic structures. The prototype for this has been Daniel Quillen’s description of the algebraic variety corresponding to the cohomology ring of a finite group, based on which Jon Carlson introduced support varieties for modular representations. This has made it possible to apply methods of algebraic geometry to obtain representation theoretic information. Their work has inspired the development of analogous theories in various contexts, notably modules over commutative complete intersection rings and over cocommutative Hopf algebras. One of the threads in this development has been the classification of thick or localizing subcategories of various triangulated categories of representations. This story started with Mike Hopkins’ classification of thick subcategories of the perfect complexes over a commutative Noetherian ring, followed by a classification of localizing subcategories of its full derived category, due to Amnon Neeman. The authors have been developing an approach to address such classification problems, based on a construction of local cohomology functors and support for triangulated categories with ring of operators. The book serves as an introduction to this circle of ideas.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Algebra.
Topical term or geographic name as entry element Group theory.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Group Theory and Generalizations.
Topical term or geographic name as entry element Commutative Rings and Algebras.
Topical term or geographic name as entry element Associative Rings and Algebras.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Iyengar, Srikanth.
Relator term author.
Personal name Krause, Henning.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783034802598
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-0348-0260-4
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-10AUM Main Library2014-04-10 2014-04-10 E-Book   AUM Main Library512.2