Hilbert flag varieties and their Kähler structure


Helminck, G.F. and Helminck, A.G. (2002) Hilbert flag varieties and their Kähler structure. [Report]

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Abstract:In this paper we introduce the infinite-dimensional flag varieties associated with integrable systems of the $KdV$- and $Toda$-type and we discuss the structure of these manifolds. As an example we treat the Fubini-Study metric on the projective space associated with a separable complex Hilbert space and we conclude by showing that all flag varieties introduced before possess a K\"{a}hler structure.
Item Type:Report
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/65853
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