Local representation theory. Modular representations as an introduction to the local representation theory of finite groups. (= Reihe: Cambridge studies in advanced mathematics. Edited by D. H. J. Garling, D. Gorenstein, T. Tom Dieck and P. Walters, Volume 11). Erstausgabe.

Alperin, J. [Jonathan] L. [Lazare]

ISBN 10: 0521306604 / ISBN 13: 9780521306607

Published by Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne, Sydney, 1986

About this Item

Fadengehefteter Pappeinband mit Rücken- und Deckeltitel. Der obere Rückenrand und die oberen Einbandecken mit dezenter kleiner Stauchung, die ersten Seiten mit winzigem Knickchen der oberen Ecke, ansonsten guter Erhaltungszustand. Jonathan Lazare Alperin, auch Jon Alperin, (* 2. Juni 1937 in Boston, Massachusetts) ist ein US-amerikanischer Mathematiker, der sich mit Gruppentheorie befasst. Alperin studierte an der Harvard University (Bachelor-Abschluss 1959) und der Princeton University, mit dem Master-Abschluss 1960 und der Promotion 1961 bei Graham Higman (On a Special Class of Regular p-Groups). Als Post-Doktorand war er 1961/62 an der University of Oxford und 1962/63 als Moore-Instructor am Massachusetts Institute of Technology. 1963 wurde er Assistant Professor, 1966 Associate Professor und 1970 Professor an der University of Chicago. Er ist bekannt für den Satz von Alperin-Brauer-Gorenstein (mit Richard Brauer, Daniel Gorenstein), der die einfachen endlichen Gruppen mit quasidihedralen Sylow-2-Untergruppen klassifiziert. Er ist auch für die Gewichts-Vermutung von Alperin bekannt (Alperin Weight Conjecture). Er war mehrfach am Institute for Advanced Study (1969, 1979, 1983) und Gastprofessor an der University of California, Berkeley (1981), in Oxford (All Souls College 1981), an der University of Georgia (Cantrell Lecturer 2002) und an der Universität Paris VII (1982). 1990 war er am MSRI. 1974/75 war er Guggenheim Fellow. 2012 wurde er Fellow der American Mathematical Society. (Wikipedia) In englischer Sprache. X, 178, (4) pages. Groß 8° (158 x 234mm). Seller Inventory # BN32985

Bibliographic Details

Title: Local representation theory. Modular ...

Publisher: Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne, Sydney

Publication Date: 1986

Binding: Hardcover/gebunden

Condition: gut

Edition: First Edition.

About this title

Synopsis:

The aim of this text is to present some of the key results in the representation theory of finite groups. In order to keep the account reasonably elementary, so that it can be used for graduate-level courses, Professor Alperin has concentrated on local representation theory, emphasising module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. As a text, this book contains ample material for a one semester course. Exercises are provided at the end of most sections; the results of some are used later in the text. Representation theory is applied in number theory, combinatorics and in many areas of algebra. This book will serve as an excellent introduction to those interested in the subject itself or its applications.

Review:

'... a beautifully written book. Anyone wishing to learn the fundamental facts of Brauer's theory of blocks cannot do better than to begin his study with this text.' Bulletin of the London Mathematical Society