Abstract
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.
Original language | English |
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Journal | Journal of Functional Analysis |
Volume | 274 |
Issue | 2 |
Pages (from-to) | 573-604 |
Number of pages | 32 |
ISSN | 0022-1236 |
DOIs | |
Publication status | Published - 15 Jan 2018 |
Keywords
- Degenerate principal series representation
- Double flag variety
- Hermitian symmetric space
- Prehomogeneous vector space