A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus
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چکیده
منابع مشابه
A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus
The group of area preserving diffeomorphisms of the annulus acts on its Lie algebra, the globally Hamiltonian vectorfields on the annulus. We consider a certain Hilbert space completion of this group (thinking of it as a group of unitary operators induced by the diffeomorphisms), and prove that the projection of an adjoint orbit onto a "Cartan" subalgebra isomorphic to Lz([0, 1]) is an infinite...
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 1993
ISSN: 0020-9910,1432-1297
DOI: 10.1007/bf01244316