Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real double flag varieties for the symplectic group   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
$P_S$. We give a detailed treatment of the case of the maximal parabolic
subgroups $Q$ of $L$ corresponding to Grassmannians and the product variety of
$G/P_S$ and $L/Q$; in particular we classify the $L$-orbits here, and find
natural explicit integral transforms between degenerate principal series of $L$
and $G$.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci