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Classification of homogeneous bounded domains of lower dimension

Published online by Cambridge University Press:  22 January 2016

Soji Kaneyuki  and
Tadashi Tsuji
Soji Kaneyuki
Affiliation:
Department of Mathematics, Nagoya University
Tadashi Tsuji
Affiliation:
Department of Mathematics, Nagoya University
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 53 , May 1974 , pp. 1 - 46
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1974

References

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