In this paper we introduce a Cayley transform C of a homogeneous Siegel domain D as a slight modification of Penney's one. We give an explicit formula to the inverse map of C, and thus clarify the biholomorphic nature of C in a direct and visible manner. When D is quasisymmetric, our Cayley transform C is shown to be naturally coincident with Dorfmeister's one. A phenomenon which does not appear in the case of quasisymmetric domains is presented by an example in the last section.
|Number of pages||22|
|Journal||Journal of Lie Theory|
|Publication status||Published - 2001|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory