Algebra 4
Lie Algebras, Chevalley Groups, and Their Representations
Authors: Lal, Ramji
Free Preview- 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
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- About this Textbook
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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.
- About the authors
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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
- Table of contents (5 chapters)
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Lie Algebras
Pages 1-75
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Semi-Simple Lie Algebras and Root Systems
Pages 77-126
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Representation Theory of Lie Algebras
Pages 127-179
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Chevalley Groups
Pages 181-246
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Representation Theory of Chevalley Groups
Pages 247-316
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Table of contents (5 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Algebra 4
- Book Subtitle
- Lie Algebras, Chevalley Groups, and Their Representations
- Authors
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- Ramji Lal
- Series Title
- Infosys Science Foundation Series in Mathematical Sciences
- Copyright
- 2021
- Publisher
- Springer Singapore
- Copyright Holder
- The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
- eBook ISBN
- 978-981-16-0475-1
- DOI
- 10.1007/978-981-16-0475-1
- Hardcover ISBN
- 978-981-16-0474-4
- Series ISSN
- 2364-4036
- Edition Number
- 1
- Number of Pages
- XIV, 321
- Number of Illustrations
- 25 b/w illustrations
- Topics
