Which 2n-dimensional orbi-spaces have effective symplectic k-torus actions? As shown by Lerman and Tolman (1997) and Watson (1997), this question reduces to that of characterizing the finite subgroups of centralizers of tori in the real symplectic group Sp(2n,ℝ). We resolve this question, and generalize our method to a calculation of the centralizers of all tori in Sp(2n,ℝ).
|Number of pages||9|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 2001|
- Centralizers of tori
- Hamiltonian torus actions
- Symplectic orbifolds