Representation Theory A Homological Algebra Point of View
Introducing the representation theory of groups and finite dimensional algebras, this book first studies basic non-commutative ring theory, covering the necessary background of elementary homological algebra and representations of groups to block th
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Alexander Zimmermann
Representation Theory A Homological Algebra Point of View
Representation Theory
For further volumes: http://www.springer.com/series/6253
Algebra and Applications Volume 19
Series editors: Alice Fialowski Eötvös Loránd University, Budapest, Hungary Eric Friedlander University of Southern California, Los Angeles, USA John Greenlees Sheffield University, Sheffield, UK Gerhard Hiß Aachen University, Aachen, Germany Ieke Moerdijk Radboud University Nijmegen, Nijmegen, The Netherlands Idun Reiten Norwegian University of Science and Technology, Trondheim, Norway Christoph Schweigert Hamburg University, Hamburg, Germany Mina Teicher Bar-llan University, Ramat-Gan, Israel Alain Verschoren University of Antwerp, Antwerp, Belgium Algebra and Applications aims to publish well written and carefully refereed monographs with up-to-date information about progress in all fields of algebra, its classical impact on commutative and noncommutative algebraic and differential geometry, K-theory and algebraic topology, as well as applications in related domains, such as number theory, homotopy and (co)homology theory, physics and discrete mathematics. Particular emphasis will be put on state-of-the-art topics such as rings of differential operators, Lie algebras and super-algebras, group rings and algebras, C*-algebras, Kac-Moody theory, arithmetic algebraic geometry, Hopf algebras and quantum groups, as well as their applications. In addition, Algebra and Applications will also publish monographs dedicated to computational aspects of these topics as well as algebraic and geometric methods in computer science.
Alexander Zimmermann
Representation Theory A Homological Algebra Point of View
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Alexander Zimmermann Département de Mathématiques LAMFA Université de Picardie Amiens France
ISSN 1572-5553 ISSN 2192-2950 (electronic) ISBN 978-3-319-07967-7 ISBN 978-3-319-07968-4 (eBook) DOI 10.1007/978-3-319-07968-4 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2014942058 Primary: 16E30, 16S34, 18E30, 20C05, 20C20 Secondary: 16D90, 16E20, 16G10, 16P20, 16P40, 16S34, 16T10, 18E35, 18G05, 18G10, 18G15, 20J05 Ó Springer International Publishing Switzerland 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of
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