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

Lie Groups and Lie Algebras: E. B. Dynkin's Seminar PDF Author: Semen Grigorʹevich Gindikin
Publisher: American Mathematical Soc.
ISBN: 9780821804544
Category : Lie albegras
Languages : en
Pages : 222

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Book Description
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 develo.

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

Lie Groups and Lie Algebras: E. B. Dynkin's Seminar PDF Author: Semen Grigorʹevich Gindikin
Publisher: American Mathematical Soc.
ISBN: 9780821804544
Category : Lie albegras
Languages : en
Pages : 222

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Book Description
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 develo.

Lie Groups and Lie Algebras

Lie Groups and Lie Algebras PDF Author: Semen Grigorʹevich Gindikin
Publisher:
ISBN:
Category : Lie algebras
Languages : en
Pages : 0

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Book Description


Lie Groups and Invariant Theory

Lie Groups and Invariant Theory PDF Author: Ėrnest Borisovich Vinberg
Publisher: American Mathematical Soc.
ISBN: 9780821837337
Category : Computers
Languages : en
Pages : 284

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Book Description
This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.

Selected Papers of E. B. Dynkin with Commentary

Selected Papers of E. B. Dynkin with Commentary PDF Author: Evgeniĭ Borisovich Dynkin
Publisher: American Mathematical Soc.
ISBN: 9780821810651
Category : Lie algebras
Languages : en
Pages : 834

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Book Description
Eugene Dynkin is a rare example of a contemporary mathematician who has achieved outstanding results in two quite different areas of research: algebra and probability. In both areas, his ideas constitute an essential part of modern mathematical knowledge and form a basis for further development. Although his last work in algebra was published in 1955, his contributions continue to influence current research in algebra and in the physics of elementary particles. His work in probability is part of both the historical and the modern development of the topic. This volume presents Dynkin's scientific contributions in both areas. Included are Commentary by recognized experts in the corresponding fields who describe the time, place, role, and impact of Dynkin's research and achievements. Biographical notes and the recollections of his students are also featured.This book is jointly published by the AMS and the International Press.

Lie Groups and Symmetric Spaces

Lie Groups and Symmetric Spaces PDF Author: Semen Grigorʹevich Gindikin
Publisher: American Mathematical Soc.
ISBN: 9780821834725
Category : Geometry, Differential
Languages : en
Pages : 372

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Book Description
The book contains survey and research articles devoted mainly to geometry and harmonic analysis of symmetric spaces and to corresponding aspects of group representation theory. The volume is dedicated to the memory of Russian mathematician, F. I. Karpelevich (1927-2000). Of particular interest are the survey articles by Sawyer on the Abel transform on noncompact Riemannian symmetric spaces, and by Anker and Ostellari on estimates for heat kernels on such spaces, as well as thearticle by Bernstein and Gindikin on integral geometry for families of curves. There are also many research papers on topics of current interest. The book is suitable for graduate students and research mathematicians interested in harmonic analysis and representation theory.

Geometry of Lie Groups

Geometry of Lie Groups PDF Author: B. Rosenfeld
Publisher: Springer Science & Business Media
ISBN: 147575325X
Category : Mathematics
Languages : en
Pages : 414

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Book Description
This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947- 1949), Azerbaijan State University (Baku) (1950-1955), Kolomna Pedagogical Col lege (1955-1970), Moscow Pedagogical University (1971-1990), and Pennsylvania State University (1990-1995). My first books on Non-Euclidean Geometries and Geometry of Lie groups were written in Russian and published in Moscow: Non-Euclidean Geometries (1955) [Ro1] , Multidimensional Spaces (1966) [Ro2] , and Non-Euclidean Spaces (1969) [Ro3]. In [Ro1] I considered non-Euclidean geometries in the broad sense, as geometry of simple Lie groups, since classical non-Euclidean geometries, hyperbolic and elliptic, are geometries of simple Lie groups of classes Bn and D , and geometries of complex n and quaternionic Hermitian elliptic and hyperbolic spaces are geometries of simple Lie groups of classes An and en. [Ro1] contains an exposition of the geometry of classical real non-Euclidean spaces and their interpretations as hyperspheres with identified antipodal points in Euclidean or pseudo-Euclidean spaces, and in projective and conformal spaces. Numerous interpretations of various spaces different from our usual space allow us, like stereoscopic vision, to see many traits of these spaces absent in the usual space.

Geometry of Differential Equations

Geometry of Differential Equations PDF Author: A. G. Khovanskiĭ
Publisher: American Mathematical Soc.
ISBN: 9780821810941
Category : Mathematics
Languages : en
Pages : 242

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Book Description
This volume contains articles written by V. I. Arnold's colleagues on the occasion of his 60th birthday. The articles are mostly devoted to various aspects of geometry of differential equations and relations to global analysis and Hamiltonian mechanics.

Proceedings of the St. Petersburg Mathematical Society, Volume IX

Proceedings of the St. Petersburg Mathematical Society, Volume IX PDF Author: N. N. Uraltseva
Publisher: American Mathematical Soc.
ISBN: 9780821890691
Category : Mathematical analysis
Languages : en
Pages : 234

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Book Description
Translations of articles on mathematics appearing in various Russian mathematical serials.

Proceedings of the St. Petersburg Mathematical Society, Volume VIII

Proceedings of the St. Petersburg Mathematical Society, Volume VIII PDF Author: N.N. Uraltseva
Publisher: American Mathematical Soc.
ISBN: 9780821896068
Category : Mathematics
Languages : en
Pages : 224

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Book Description
The articles in this collection present new results in partial differential equations, numerical analysis, probability theory, and geometry. The results, ideas, and methods given in the book will be of interest to a broad range of specialists.

Proceedings of the St. Petersburg Mathematical Society Volume V

Proceedings of the St. Petersburg Mathematical Society Volume V PDF Author: Nina Nikolaevna Ural_t_seva
Publisher: American Mathematical Soc.
ISBN: 9780821896020
Category :
Languages : en
Pages : 288

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Book Description
This volume contains 10 papers with new results on problems in mathematical physics, differential equations, and probability. Included also is an article on the dramatic history of mathematics in Leningrad in the 1930s.