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The Orbit Method in Geometry and Physics: In Honor of A.A. Kirillov (Progress in Mathematics)

Duval, Christian; Guieu, Laurent; Ovsienko, Valentin (editors)

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ISBN 10: 0817642323 / ISBN 13: 9780817642327
Editorial: Boston & Basel: Birkhäuser, 2003
Usado Condición: Near Fine Encuadernación de tapa dura
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Descripción

Octavo bound in green, paper-covered boards. Near fine condition. 472 pages. N° de ref. de la librería 301136

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Detalles bibliográficos

Título: The Orbit Method in Geometry and Physics: In...

Editorial: Boston & Basel: Birkhäuser

Año de publicación: 2003

Encuadernación: Hardcover

Condición del libro:Near Fine

Condición de la sobrecubierta: No Jacket

Edición: 1st Edition

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Sinopsis:

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.

Review:

"...the volume might be useful to a large number of potential readers interested in various fields, like representation theory of Lie groups, symplectic geometry, differential equations, combinatorics, etc. It is noteworthy that the history of mathematics can also be added to this list of topics, due to the nice article authored by J. Dixmier."

―Romanian Journal of Pure and Appl. Math.

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