Algebra 4 Lie Algebras, Chevalley Groups, and Their Representations

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.

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.

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