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Transactions of the American Mathematical Society

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

 

 

Siegel domains and representations of Jordan algebras


Author: O. S. Rothaus
Journal: Trans. Amer. Math. Soc. 271 (1982), 197-213
MSC: Primary 17C15; Secondary 32M99
MathSciNet review: 648086
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Abstract: In the analysis of infinitesimal automorphisms of arbitrary Siegel domains, a certain class of nonsemisimple Jordan algebras occurs. The description of all the infinitesimal automorphisms of the domain may be based on a study of representations of the associated Jordan algebra satisfying a certain "strange identity". In this paper, all the possibilities for the Jordan algebra and representations satisfying the identity are given.


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DOI: https://doi.org/10.1090/S0002-9947-1982-0648086-7
Article copyright: © Copyright 1982 American Mathematical Society