Representations of Finite Groups: Local Cohomology and Support

• Κύριοι συγγραφείς: Benson, David J. (Συγγραφέας), Iyengar, Srikanth (Συγγραφέας), Krause, Henning (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2012.
• Σειρά: Oberwolfach Seminars ; 43
• Θέματα: Mathematics.; Associative rings.; Rings (Algebra).; Commutative algebra.; Commutative rings.; Group theory.; Group Theory and Generalizations.; Commutative Rings and Algebras.; Associative Rings and Algebras.

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. T...

Πίνακας περιεχομένων:

• 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.