Aleksandr Aleksandrovich Kirillov's Books

The Orbit Method in Geometry and Physics

In Honor of A. A. Kirillov

By: Aleksandr Aleksandrovich Kirillov,Christian Duval,Laurent Guieu,Valentin Ovsienko

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The Orbit Method in Geometry and Physics

In Honor of A. A. Kirillov

By: Aleksandr Aleksandrovich Kirillov,Christian Duval,Laurent Guieu,Valentin Ovsienko

The orbit method influenced the development of several areas of mathematics in the second half of the 20th century and remains a useful and powerful tool in such areas as Lie theory, representation theory, integrable systems, complex geometry, and mathematical physics. Among the distinguished names associated with the orbit method is that of A.A. Kirillov, whose pioneering paper on nilpotent orbits (1962), places him as the founder of orbit theory. The original research papers in this volume are written by prominent mathematicians and reflect recent achievements in orbit theory and other closely related areas such as harmonic analysis, classical representation theory, Lie superalgebras, Poisson geometry, and quantization. Contributors: A. Alekseev, J. Alev, V. Baranovksy, R. Brylinski, J. Dixmier, S. Evens, D.R. Farkas, V. Ginzburg, V. Gorbounov, P. Grozman, E. Gutkin, A. Joseph, D. Kazhdan, A.A. Kirillov, B. Kostant, D. Leites, F. Malikov, A. Melnikov, P.W. Michor, Y.A. Neretin, A. Okounkov, G. Olshanski, F. Petrov, A. Polishchuk, W. Rossmann, A. Sergeev, V. Schechtman, I. Shchepochkina. The work will be an invaluable reference for researchers in the above mentioned fields, as well as a useful text for graduate seminars and courses.

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Page Count

518

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817642323

ISBN 13

9780817642327

Lectures on the Orbit Method

By: Aleksandr Aleksandrovich Kirillov

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Lectures on the Orbit Method

By: Aleksandr Aleksandrovich Kirillov

Describes the essence of the orbit method for non-experts and gives a detailed exposition of the method. This work can be used as a text for a graduate course, as well as a handbook for non-experts and a reference book for research mathematicians and mathematical physicists.

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Page Count

434

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821835300

ISBN 13

9780821835302

The Orbit Method in Geometry and Physics

In Honor of A. A. Kirillov

By: Aleksandr Aleksandrovich Kirillov,Christian Duval,Laurent Guieu,Valentin Ovsienko

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The Orbit Method in Geometry and Physics

In Honor of A. A. Kirillov

By: Aleksandr Aleksandrovich Kirillov,Christian Duval,Laurent Guieu,Valentin Ovsienko

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N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

518

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817642323

ISBN 13

9780817642327

Lectures on the Orbit Method

By: Aleksandr Aleksandrovich Kirillov

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Lectures on the Orbit Method

By: Aleksandr Aleksandrovich Kirillov

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Solve jigsaw puzzle

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Page Count

434

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821835300

ISBN 13

9780821835302

Lectures on the Orbit Method

By: Aleksandr Aleksandrovich Kirillov

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Lectures on the Orbit Method

By: Aleksandr Aleksandrovich Kirillov

Isaac Newton encrypted his discoveries in analysis in the form of an anagram, which deciphers to the sentence ``It is worthwhile to solve differential equations''. Accordingly, one can express the main idea behind the Orbit Method by saying "It is worthwhile to study coadjoint orbits". The orbit method was introduced by the author, A. A. Kirillov, in the 1960s and remains a useful and powerful tool in areas such as Lie theory, group representations, integrable systems, complex and symplectic geometry, and mathematical physics. This book describes the essence of the orbit method for non-experts and gives the first systematic, detailed, and self-contained exposition of the method. It starts with a convenient ``User's Guide'' and contains numerous examples. It can be used as a text for a graduate course, as well as a handbook for non-experts and a reference book for research mathematicians and mathematical physicists.

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Age

Page Count

408

Published Date

ISBN 10

1470417995

ISBN 13

9781470417994

Book's by Aleksandr Aleksandrovich Kirillov

The Orbit Method in Geometry and Physics

The Orbit Method in Geometry and Physics

Lectures on the Orbit Method

Lectures on the Orbit Method

The Orbit Method in Geometry and Physics

The Orbit Method in Geometry and Physics

Lectures on the Orbit Method

Lectures on the Orbit Method

Lectures on the Orbit Method

Lectures on the Orbit Method

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