Lie Groups and Algebraic Groups

This book is based on the notes of the authors'' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68. Our guiding idea was to present in the most economic way the theory of semisimple Lie groups on the basis of the theory of algebraic groups. Our main sources were A. Borel''s paper [34], C. ChevalIey''s seminar [14], seminar "Soph...