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Algebra 4

Lie Algebras, Chevalley Groups, and Their Representations

  • Textbook
  • © 2021

Overview

Authors:
  1. Ramji Lal

    1. University of Allahabad, Prayagraj, India

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  • Discusses major topics on Lie algebra and representation theory
  • Presents an accessible introduction to the major theorems of modern algebra
  • Provides a clear and motivating exposition with numerous examples and exercises
  • Is written by an expert with over 43 years of teaching experience of the subject

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

Part of the book sub series: Infosys Science Foundation Series in Mathematical Sciences (ISFM)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Lie Algebras

    • Ramji Lal
    Pages 1-75

  3. Semi-Simple Lie Algebras and Root Systems

    • Ramji Lal
    Pages 77-126

  4. Representation Theory of Lie Algebras

    • Ramji Lal
    Pages 127-179

  5. Chevalley Groups

    • Ramji Lal
    Pages 181-246

  6. Representation Theory of Chevalley Groups

    • Ramji Lal
    Pages 247-316

  7. Back Matter

    Pages 317-321
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Keywords

About this book

This book, the fourth book in the four-volume series in algebra, discusses Lie algebra and representation theory in detail. It covers topics such as semisimple Lie algebras, root systems, representation theory of Lie algebra, Chevalley groups and representation theory of Chevalley groups. Numerous motivating illustrations have been presented along with exercises, enabling readers to acquire a good understanding of topics which they can then use to find the exact or most realistic solutions to their problems.



Authors and Affiliations

  • University of Allahabad, Prayagraj, India

    Ramji Lal

About the author

RAMJI LAL is Adjunct Professor at the Harish-Chandra Research Institute (HRI), Allahabad, India. He started his research career at the Tata Institute of Fundamental Research (TIFR), Mumbai, and served the University of Allahabad in different capacities for over 43 years, as a professor, head of the department and the coordinator of the DSA program. He was associated with HRI, where he initiated a postgraduate program in mathematics and coordinated the Nurture Program of National Board for Higher Mathematics (NBHM) from 1996 to 2000. After his retirement from the University of Allahabad, he was an advisor cum adjunct professor at the Indian Institute of Information Technology (IIIT), Allahabad, for over three years. His areas of interest include group theory, algebraic K-theory and representation theory

Bibliographic Information

  • Book Title: Algebra 4

  • Book Subtitle: Lie Algebras, Chevalley Groups, and Their Representations

  • Authors: Ramji Lal

  • Series Title: Infosys Science Foundation Series

  • DOI: https://doi.org/10.1007/978-981-16-0475-1

  • Publisher: Springer Singapore

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021

  • Hardcover ISBN: 978-981-16-0474-4Published: 30 March 2021

  • Softcover ISBN: 978-981-16-0477-5Published: 31 March 2022

  • eBook ISBN: 978-981-16-0475-1Published: 29 March 2021

  • Series ISSN: 2363-6149

  • Series E-ISSN: 2363-6157

  • Edition Number: 1

  • Number of Pages: XIV, 321

  • Number of Illustrations: 25 b/w illustrations

  • Topics: Algebra

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