In celebration of E. B. Dynkin's 70th birthday, this book presents current papers by those who participated in Dynkin's seminar on Lie groups and Lie algebras in the late 1950s and early 1960s. Dynkin had a major influence not only on mathematics, but also on the students who attended his seminar - many of whom are today's leading mathematicians in Russia and in the U.S. Dynkin's contributions to the theory of Lie groups is well known, and the survey paper by Karpelevich, Onishchik, and Vinberg allows readers to gain a deeper understanding of this work. Features several aspects of modern developments in Lie groups and Lie algebras, including...theory of invariants superalgebras arithmetic applications connections with mathematical physics. Providing insight on the extraordinary mathematical traditions that grew out of this important seminar, ""Lie Groups and Lie Algebras"" is a fitting celebration of Dynkin's achievements.
