The symplectic geometry of a new kind of Siegel upper half space of   order 2 (I)
  In this paper, we introduce a new kind of Siegel upper half space and consider the symplectic geometry on it explicitly under the action of the group of all holomorphic transformations of it. The results and methods will form a basis for our number theoretic applications later. 
Tianqin Wang, Tianze Wang, Hongwen Lu
math.SG