A.A. Kirillov's pioneering 1962 paper on nilpotent orbits places him
as the founder of orbit theory. The orbit method influenced the
development of several areas of mathematics in the second half of the
20th century and continues to be an important tool today. In this
volume, prominent contributors present original and expository invited
papers in the areas of Lie theory, geometry, algebra, and mathematical
physics. An invaluable reference for researchers in the above
mentioned fields, as well as a useful text for graduate seminars and
courses.
A wide collection of recent research articles describing the most recent developments in representation theory and related topics Researchers will find in this volume a representative and "state-of-the-art" literature and references These articles are written by the most distinguished and active mathematicians in the subject
Christian Duval
Lie algebra Lie groups Representation theory differential geometry geometrical quantization manifold mathematical physics symplectic geometry
"…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.