The Orbit Method in Geometry and Physics

Released on by Aleksandr Aleksandrovich Kirillov
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  • The Orbit Method in Geometry and Physics Book Detail

  • Author : Aleksandr Aleksandrovich Kirillov
  • Release Date : 2003-05-15
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 518
  • ISBN 13 : 9780817642327
  • File Size : 31,31 MB
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The Orbit Method in Geometry and Physics by Aleksandr Aleksandrovich Kirillov 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

Topics in Representation Theory

Topics in Representation Theory

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Almost every major mathematical theory, from 19th century classical analysis and geometry to the newest abstract constructions of category theory, have recently

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,