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Representation Theory

A Homological Algebra Point of View
BuchGebunden
707 Seiten
Englisch
Springererschienen am26.08.20142014
Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory.mehr
Verfügbare Formate
BuchGebunden
EUR181,89
BuchKartoniert, Paperback
EUR181,89
E-BookPDF1 - PDF WatermarkE-Book
EUR171,19

Produkt

KlappentextIntroducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory.
Details
ISBN/GTIN978-3-319-07967-7
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2014
Erscheinungsdatum26.08.2014
Auflage2014
ReiheAlgebra and Applications
Seiten707 Seiten
SpracheEnglisch
Gewicht1206 g
IllustrationenXX, 707 p. 59 illus.
Artikel-Nr.32105056

Inhalt/Kritik

Inhaltsverzeichnis
Rings, Algebras and Modules.- Modular Representations of Finite Groups.- Abelian and Triangulated Categories.- Morita theory.- Stable Module Categories.- Derived Equivalences.mehr
Kritik
"The focus of this text is the representation theory of associative algebras and the modular representation theory of finite groups, with an emphasis on the interplay between these two fields. ... the text at hand is aimed at a beginning graduate student without prior exposure to homological algebra. ... Overall, this book is a great repository of theory, developed almost from scratch, with detailed proofs." (Alex S. Dugas, Mathematical Reviews, May, 2016)

"This book is intended as a text for first year master students who want to specialize on representation theory, more precisely: representations of finite-dimensional algebras and modular group representations, with special emphasis on homological methods." (Wolfgang Rump, zbMATH 1306.20001, 2015)
"The author's intent is to provide an obviously very serious 'introduction to the representation theory of finite groups and finite dimensional algebras via homological algebra.' ... Zimmermann's book is geared to initiates and serious algebraists aiming at research in the indicated area. It is clearly a labor of love and fine scholarship, and should succeed in providing guidance and instruction in a most interesting and intricate subject." (Michael Berg, MAA Reviews, October, 2014)mehr