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Representations of Finite Groups: Local Cohomology and Support (Oberwolfach Seminars, nr. 43)

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en Limba Engleză Carte Paperback – 17 Dec 2011
This book presents the solution of a long-standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on commutative algebra, cohomology of groups and stable homotopy theory.
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Specificații

ISBN-13: 9783034802598
ISBN-10: 3034802595
Pagini: 121
Dimensiuni: 168 x 240 x 10 mm
Greutate: 0.24 kg
Ediția: 2012
Editura: Springer
Colecția Birkhäuser
Seria Oberwolfach Seminars

Locul publicării: Basel, Switzerland

Public țintă

Graduate

Recenzii

From the reviews:
“The book is aimed at a readership with a solid background in algebra, in particular representation theory, commutative algebra and homological algebra. The volume comprises five chapters and an appendix, and each chapter is divided into four sections. Each chapter consists of the lecture material and the exercises handled during one day at the Oberwolfach Seminar (in 2010) with the same title. … The book ends with an appendix … and there is a comprehensive bibliography.” (Nadia P. Mazza, Mathematical Reviews, March, 2013)
“The manuscript under review provides a quite nice introduction to the tools used in these classification theorems and offers an excellent starting point for someone new to the area. The manuscript is based on a week-long series of lectures given by the authors to introduce people to the ideas involved in the proof of the classification of localising subcategories of Mod(kG).” (Christopher P. Bendel, Zentralblatt MATH, Vol. 1246, 2012)

Caracteristici

Covers material not addressed anywhere else in book form
Gives an introduction to recent methods in representation theory of a fundamental nature that are likely to have a wide influence in neighboring subjects
Exposition intended to be accessible to graduate and postdoctoral students in algebra and algebraic topology