Real double flag varieties for the symplectic group

Kyo Nishiyama*, Bent Ørsted

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

2 Citations (Scopus)

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 languageEnglish
JournalJournal of Functional Analysis
Volume274
Issue2
Pages (from-to)573-604
Number of pages32
ISSN0022-1236
DOIs
Publication statusPublished - 15 Jan 2018

Keywords

  • Degenerate principal series representation
  • Double flag variety
  • Hermitian symmetric space
  • Prehomogeneous vector space

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