American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 1995; 202 pp; hardcover Volume: 169 ISBN10: 0821804545 ISBN13: 9780821804544 List Price: US$114 Member Price: US$91.20 Order Code: TRANS2/169
 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 seminarmany 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. Readership Researchers, graduate students, and physicists interested in Lie groups, Lie algebras, and related areas. Table of Contents  F. I. Karpelevich, A. L. Onishchik, and E. B. Vinberg  On the work of E. B. Dynkin in the theory of Lie groups
 D. Fuchs and A. Schwarz  Matrix Vieta theorem
 S. Gindikin  Integral geometry on real quadrics
 S. M. GuseinZade  Dynkin diagrams in singularity theory
 A. A. Kirillov  Variations on the triangular theme
 A. L. Onishchik and A. A. Serov  Vector fields and deformations of isotropic superGrassmannians of maximal type
 M. Penkava and A. Schwarz  \(A_\infty\) algebras and the cohomology of moduli spaces
 I. PiatetskiShapiro and R. Raghunathan  On Hamburger's theorem
 V. L. Popov  An analogue of M. Artin's conjecture on invariants for nonassociative algebras
 E. B. Vinberg  On reductive algebraic semigroups
 D. P. Zhelobenko  Crystal bases and the problem of reduction in classical and quantum modules
