Year: 2008
Type: article
Abstract: We calculate, in a relatively explicit way, the Hamiltonian systems that 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.
DOI: 10.1093/imrn/rnn126
Authors: Arlo Caine, Doug Pickrell
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2963413363