Get The Orbit Method in Geometry and Physics: In Honor of A.A. PDF

By Christian Duval,Laurent Guieu,Valentin Ovsienko

The orbit process encouraged the improvement of a number of parts of arithmetic within the moment half the 20 th century and continues to be an invaluable and strong instrument in such parts as Lie thought, illustration thought, integrable structures, advanced geometry, and mathematical physics. one of the exotic names linked to the orbit procedure is that of A.A. Kirillov, whose pioneering paper on nilpotent orbits (1962), areas him because the founding father of orbit idea. the unique learn papers during this quantity are written by way of famous mathematicians and replicate fresh achievements in orbit conception and different heavily comparable components comparable to harmonic research, classical illustration idea, Lie superalgebras, Poisson geometry, and quantization. members: 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 paintings should be a useful reference for researchers within the above pointed out fields, in addition to an invaluable textual content for graduate seminars and courses.

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The Orbit Method in Geometry and Physics: In Honor of A.A. Kirillov (Progress in Mathematics) by Christian Duval,Laurent Guieu,Valentin Ovsienko

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