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比利时vs摩洛哥足彩 ,
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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