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Algebra 4: Lie Algebras, Chevalley Groups, and Their Representations: Infosys Science Foundation Series

Autor Ramji Lal
en Limba Engleză Paperback – 31 mar 2022
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.
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Specificații

ISBN-13: 9789811604775
ISBN-10: 9811604770
Pagini: 321
Ilustrații: XIV, 321 p. 25 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.47 kg
Ediția:1st ed. 2021
Editura: Springer Nature Singapore
Colecția Springer
Seriile Infosys Science Foundation Series, Infosys Science Foundation Series in Mathematical Sciences

Locul publicării:Singapore, Singapore

Cuprins

1. Lie Algebras.- 2. Semi Simple Lie Algebras and Root Systems.- 3. Representation Theory of Lie Algebra.- 4. Chevalley Groups and Representation Theory.- 5. Representation Theory of Chevalley Groups.

Notă biografică

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

Textul de pe ultima copertă

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.

Caracteristici

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