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An Infinite Dimensional Version of the Kostant Convexity Theorem

✍ Scribed by Andreas Neumann

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
344 KB
Volume
189
Category
Article
ISSN
0022-1236

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✦ Synopsis

In this paper we generalize the linear Kostant Convexity Theorem to Lie algebras of bounded linear operators on a Hilbert space: If t is a Cartan subspace of one of the hermitian real forms h(H), ho(I c ), hsp(I a ), p t is the projection on t, U the corresponding unitary group and W the corresponding Weyl group, then for every X # t we have p t (U. X)=conv(W. X ).

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