Year: 2006
Type: article
Abstract: Let G be a complex semisimple Lie group and \tau a complex antilinear involution that commutes with a Cartan involution. If H denotes the connected subgroup of \tau -fixed points in G , and K is maximally compact, each H -orbit in G/K can be equipped with a Poisson structure as described by Evens and Lu. We consider symplectic leaves of certain such H -orbits with a natural Hamiltonian torus action. A symplectic convexity theorem then leads to van den Ban's convexity result for (complex) semisimple symmetric spaces.
Source: Documenta Mathematica
DOI: 10.4171/dm/216
Authors: Philip Foth, Michael Otto
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2140459205