Lie Groups and Lie Algebras: E. B. Dynkin’s Seminar
About this Title
Simon G. Gindikin, Rutgers University, New Brunswick, NJ and Ernest B. Vinberg, Moscow State University, Moscow, Russia, Editors. Translated by Moscow Group
Publication: American Mathematical Society Translations: Series 2
Publication Year 1995: Volume 169
ISBNs: 978-0-8218-0454-4 (print); 978-1-4704-3380-2 (online)
MathSciNet review: MR1364448
MSC: Primary 00B30
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
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.
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
- Dmitry Fuchs and Albert Schwarz – Matrix Vieta theorem
- Simon Gindikin – Integral geometry on real quadrics
- S. M. Gusein-Zade – 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 super-Grassmannians of maximal type
- Michael Penkava and Albert Schwarz – $A_\infty $ algebras and the cohomology of moduli spaces
- I. Piatetski-Shapiro and Ravi Raghunathan – On Hamburger’s theorem
- Vladimir 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