Automorphisms of Siegel domains

Rothaus, O. S.

doi:10.1090/S0002-9947-1971-0293124-X

Automorphisms of Siegel domains
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by O. S. Rothaus

Trans. Amer. Math. Soc. 162 (1971), 351-382

DOI: https://doi.org/10.1090/S0002-9947-1971-0293124-X

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Abstract:

This paper studies nonaffine biholomorphisms from one tube domain to a second. A sequel will carry out the same study for arbitrary Siegel domains. With the help of the Bergman kernel function, we can give an explicit form for such biholomorphisms; and with the use of structure theory for Jordan algebras, we can give an algebraic and geometric description of the nature of such tube domains.

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