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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Special Colloquium
Bertram Kostant
Massachusetts Institute of Technology
On maximal Poisson commutative subalgebras of S(g), complete integrability, and corresponding Darboux coordinates on any reductive Lie algebra $\frak g$
Abstract:
Recently, using Gelfand-Zeitlin and the space of Hessenberg matrices, Wallach and I found natural Darboux coordinates (as a classical mechanical solution of the Gelfand-Zeitlin question) on $\frak g$ for the case where $\frak g$ is the space of all matrices. Now, at least locally, I do the same for any reductive $\frak g$ using a beautiful result of A. A. Tarasov on Fomenko-Miscenko theory and old results of mine on a generalization of the Hessenberg matrices.
Host: Nolan Wallach
March 13, 2007
2:30 PM
AP&M 7218
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