Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogeneous Poisson structures on symmetric spaces   We calculate, in a relatively explicit way, the Hamiltonian systems which
arise from the Evens-Lu construction of homogeneous Poisson structures on both
compact and noncompact type symmetric spaces. A corollary is that the
Hamiltonian system arising in the noncompact case is isomorphic to the generic
Hamiltonian system arising in the compact case. In the group case these systems
are also isomorphic to those arising from the Bruhat Poisson structure on the
flag space, and hence, by results of Lu, can be completely factored.

10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex