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On symmetric Siegel domains

Published online by Cambridge University Press:  22 January 2016

Masaru Takeuchi
Masaru Takeuchi*
Affiliation:
Department of Mathematics, Osaka University
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Let V be a convex cone in a real vector space X, F: Y × Y → Xc a V-positive hermitian map on a complex vector space Y, and

the Siegel domain associated to V and F. D(V,F) is said to be symmetric, if for each point p ∈ D(V, F) there exists an involutive holomorphic automorphism σp of D(V,F) such that the fixed point set of σp consists of only the point p. Satake [6] showed that the symmetric Siegel domain D(V, F) is characterized by the following three conditions (i), (ii) and (iii).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 59 , December 1975 , pp. 9 - 44
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1975

References

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