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Více informací o knize Representations of Finite Groups: Local Cohomology and Support

• Parametry knihy
• Anotace
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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Algebra

• Plný název: Representations of Finite Groups: Local Cohomology and Support
• Autor: David J. Benson, Srikanth Iyengar, Henning Krause
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 105
• EAN: 9783034802598
• ISBN: 3034802595
• ID: 01365541
• Nakladatelství: Springer Basel
• Hmotnost: 240 g
• Rozměry: 239 × 170 × 9 mm
• Datum vydání: 15. November 2011

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