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Real double flag varieties for the symplectic group

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In this paper we study a key example of a Hermitian symmetric space and a natural associated double flag variety, namely for the real symplectic group G and the symmetric subgroup L, the Levi part of the Siegel parabolic PS. We give a detailed treatment of the case of the maximal parabolic subgroups Q of L corresponding to Grassmannians and the product variety of G/PS and L/Q; in particular we classify the L-orbits here, and find natural explicit integral transforms between degenerate principal series of L and G.

OriginalsprogEngelsk
TidsskriftJournal of Functional Analysis
Vol/bind274
Nummer2
Sider (fra-til)573-604
Antal sider32
ISSN0022-1236
DOI
StatusUdgivet - 15 jan. 2018

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