1. Classification of homogeneous bounded domains of lower dimension
- Author
-
Tadashi Tsuji and Soji Kaneyuki
- Subjects
Bounded set ,010308 nuclear & particles physics ,General Mathematics ,010102 general mathematics ,Type (model theory) ,Space (mathematics) ,01 natural sciences ,Bounded operator ,32M10 ,Combinatorics ,Bounded function ,0103 physical sciences ,Irreducibility ,0101 mathematics ,Bounded inverse theorem ,32M15 ,Complex number ,Mathematics - Abstract
The theory of classification of homogeneous bounded domains in the complex number space Cn has been developed mainly in the recent papers [10], [6], [3] and [7]. As a result, the classification is reduced to that of S-algebras due to Takeuchi [7] which correspond to irreducible Siegel domains of type I or type II (For the definition of irreducibility see § 1). On the other hand Pjateckii-Sapiro [5] found large classes of homogeneous Siegel domains obtained from classical self-dual cones. Even in lower-dimensional cases, however, there are still homogeneous Siegel domains which do not appear in his results.
- Published
- 1974