eBook ISBN:  9781470433802 
Product Code:  TRANS2/169.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
eBook ISBN:  9781470433802 
Product Code:  TRANS2/169.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 169; 1995; 202 ppMSC: Primary 22; 57; Secondary 14; 15; 17; 42; 44; 53; 58
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.
ReadershipResearchers, graduate students, and physicists interested in Lie groups, Lie algebras, and related areas.

Table of Contents

Chapters

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. 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

Michael Penkava and Albert Schwarz — $A_\infty $ algebras and the cohomology of moduli spaces

I. PiatetskiShapiro 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


RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
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.
Researchers, graduate students, and physicists interested in Lie groups, Lie algebras, and related areas.

Chapters

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. 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

Michael Penkava and Albert Schwarz — $A_\infty $ algebras and the cohomology of moduli spaces

I. PiatetskiShapiro 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