Algebra 2 Linear Algebra, Galois Theory, Representation theory,
This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The se
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Ramji Lal
Algebra 2 Linear Algebra, Galois Theory, Representation Theory, Group Extensions and Schur Multiplier
Infosys Science Foundation Series Infosys Science Foundation Series in Mathematical Sciences
Series editors Gopal Prasad, University of Michigan, USA Irene Fonseca, Mellon College of Science, USA Editorial Board Chandrasekhar Khare, University of California, USA Mahan Mj, Tata Institute of Fundamental Research, Mumbai, India Manindra Agrawal, Indian Institute of Technology Kanpur, India S.R.S. Varadhan, Courant Institute of Mathematical Sciences, USA Weinan E, Princeton University, USA
The Infosys Science Foundation Series in Mathematical Sciences is a sub-series of The Infosys Science Foundation Series. This sub-series focuses on high quality content in the domain of mathematical sciences and various disciplines of mathematics, statistics, bio-mathematics, financial mathematics, applied mathematics, operations research, applies statistics and computer science. All content published in the sub-series are written, edited, or vetted by the laureates or jury members of the Infosys Prize. With the Series, Springer and the Infosys Science Foundation hope to provide readers with monographs, handbooks, professional books and textbooks of the highest academic quality on current topics in relevant disciplines. Literature in this sub-series will appeal to a wide audience of researchers, students, educators, and professionals across mathematics, applied mathematics, statistics and computer science disciplines.
More information about this series at http://www.springer.com/series/13817
Ramji Lal
Algebra 2 Linear Algebra, Galois Theory, Representation Theory, Group Extensions and Schur Multiplier
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Ramji Lal Harish Chandra Research Institute (HRI) Allahabad, Uttar Pradesh India
ISSN 2363-6149 Infosys Science Foundation Series ISSN 2364-4036 Infosys Science Foundation Series ISBN 978-981-10-4255-3 DOI 10.1007/978-981-10-4256-0
ISSN 2363-6157
(electronic)
ISSN 2364-4044 (electronic) in Mathematical Sciences ISBN 978-981-10-4256-0 (eBook)
Library of Congress Control Number: 2017935547 © Springer Nature Singapore Pte Ltd. 2017 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. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the d
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