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Product Code:  TRANS2/169 
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Electronic ISBN:  9781470433802 
Product Code:  TRANS2/169.E 
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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

Cover

Frontispiece

Title page

Copyright page

Contents

Preface

On the work of E. B. Dynkin in the theory of Lie groups

Matrix Vieta theorem

Integral geometry on real quadrics

Dynkin diagrams in singularity theory

Variations on the triangular theme

Vector fields and deformations of isotropic superGrassmannians of maximal type

𝐴_{∞} algebras and the cohomology of moduli spaces

On Hamburger’s theorem

An analogue of M. Artin’s conjecture on invariants for nonassociative algebras

On reductive algebraic semigroups

Crystal bases and the problem of reduction in classical and quantum modules

Back Cover


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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.

Cover

Frontispiece

Title page

Copyright page

Contents

Preface

On the work of E. B. Dynkin in the theory of Lie groups

Matrix Vieta theorem

Integral geometry on real quadrics

Dynkin diagrams in singularity theory

Variations on the triangular theme

Vector fields and deformations of isotropic superGrassmannians of maximal type

𝐴_{∞} algebras and the cohomology of moduli spaces

On Hamburger’s theorem

An analogue of M. Artin’s conjecture on invariants for nonassociative algebras

On reductive algebraic semigroups

Crystal bases and the problem of reduction in classical and quantum modules

Back Cover