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Lie Groups and Lie Algebras: E. B. Dynkin’s Seminar

Edited by: S. G. Gindikin Rutgers University, New Brunswick, NJ
E. B. Vinberg Moscow State University, Moscow, Russia
Available Formats:
Hardcover ISBN: 978-0-8218-0454-4
Product Code: TRANS2/169
List Price: $121.00 MAA Member Price:$108.90
AMS Member Price: $96.80 Electronic ISBN: 978-1-4704-3380-2 Product Code: TRANS2/169.E List Price:$114.00
MAA Member Price: $102.60 AMS Member Price:$91.20
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List Price: $181.50 MAA Member Price:$163.35
AMS Member Price: $145.20 Click above image for expanded view Lie Groups and Lie Algebras: E. B. Dynkin’s Seminar Edited by: S. G. Gindikin Rutgers University, New Brunswick, NJ E. B. Vinberg Moscow State University, Moscow, Russia Available Formats:  Hardcover ISBN: 978-0-8218-0454-4 Product Code: TRANS2/169  List Price:$121.00 MAA Member Price: $108.90 AMS Member Price:$96.80
 Electronic ISBN: 978-1-4704-3380-2 Product Code: TRANS2/169.E
 List Price: $114.00 MAA Member Price:$102.60 AMS Member Price: $91.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$181.50 MAA Member Price: $163.35 AMS Member Price:$145.20
• Book Details

American Mathematical Society Translations - Series 2
Volume: 1691995; 202 pp
MSC: 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.

Researchers, graduate students, and physicists interested in Lie groups, Lie algebras, and related areas.

• Cover
• Frontispiece
• Title 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 super-Grassmannians 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
• Request Review Copy
• Get Permissions
Volume: 1691995; 202 pp
MSC: 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.

Researchers, graduate students, and physicists interested in Lie groups, Lie algebras, and related areas.

• Cover
• Frontispiece
• Title 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 super-Grassmannians 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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