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Algebra 2

Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier

  • Ramji Lal

Part of the Infosys Science Foundation Series book series (ISFS)

Also part of the Infosys Science Foundation Series in Mathematical Sciences book sub series (ISFM)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Ramji Lal
    Pages 1-30
  3. Ramji Lal
    Pages 31-71
  4. Ramji Lal
    Pages 73-95
  5. Ramji Lal
    Pages 97-129
  6. Ramji Lal
    Pages 131-193
  7. Ramji Lal
    Pages 229-263
  8. Ramji Lal
    Pages 265-329
  9. Ramji Lal
    Pages 331-366
  10. Ramji Lal
    Pages 367-425
  11. Back Matter
    Pages 427-432

About this book

Introduction

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 section on linear algebra (chapters 1–5) does not require any background material from Algebra 1, except an understanding of set theory. Linear algebra is the most applicable branch of mathematics, and it is essential for students of science and engineering As such, the text can be used for one-semester courses for these students. The remaining part of the volume discusses Jordan and rational forms, general linear algebra (linear algebra over rings), Galois theory, representation theory (linear algebra over group algebras), and the theory of extension of groups follow linear algebra, and is suitable as a text for the second and third year students specializing in mathematics. 

Keywords

Algebra Linear Equations Vector Space Galois Theory Finite Groups Group Extensions

Authors and affiliations

  • Ramji Lal
    • 1
  1. 1.Harish Chandra Research Institute (HRI)AllahabadIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-4256-0
  • Copyright Information Springer Nature Singapore Pte Ltd. 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-4255-3
  • Online ISBN 978-981-10-4256-0
  • Series Print ISSN 2363-6149
  • Series Online ISSN 2363-6157
  • Buy this book on publisher's site