Representations of Finite Groups: Local Cohomology and Support (Paperback)

Langue : anglais

Edité par Springer Basel, Basel, 2011

3034802595 / 9783034802598

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Paperback. 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 Quillens 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

N° de réf. du vendeur 9783034802598

Titre
Representations of Finite Groups: Local Cohomology and Support (Paperback)
Auteur
David J. Benson
Éditeur
Springer Basel, Basel
Année de publication
2011
État de l'article
new
Reliure
Paperback
Langue
anglais
ISBN à 10 chiffres
3034802595
ISBN à 13 chiffres
9783034802598

Grand Eagle Retail

Bensenville, IL, Etats-Unis

Vendeur avec une évaluation de 5 étoiles

Vendeur AbeBooks depuis 12 octobre 2005

Frais d'expédition à l'intérieur de ce pays : Etats-Unis

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