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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Automorphisms of Siegel domains


Author: O. S. Rothaus
Journal: Trans. Amer. Math. Soc. 162 (1971), 351-382
MSC: Primary 32N05
DOI: https://doi.org/10.1090/S0002-9947-1971-0293124-X
MathSciNet review: 0293124
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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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DOI: https://doi.org/10.1090/S0002-9947-1971-0293124-X
Keywords: Convex cone, tube domain, Bergman kernel, Jordan algebra
Article copyright: © Copyright 1971 American Mathematical Society