The Orbit Method in Geometry and Physics

Released on by Christian Duval
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  • The Orbit Method in Geometry and Physics Book Detail

  • Author : Christian Duval
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 478
  • ISBN 13 : 1461200296
  • File Size : 75,75 MB
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The Orbit Method in Geometry and Physics by Christian Duval PDF Summary

Book Description: 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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The Orbit Method in Geometry and Physics

The Orbit Method in Geometry and Physics

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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 suc

The Orbit Method in Representation Theory

The Orbit Method in Representation Theory

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Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras. This book

The Orbit Method in Representation Theory

The Orbit Method in Representation Theory

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Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras. This book

Lectures on the Orbit Method

Lectures on the Orbit Method

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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,