Siegel domains and representations of Jordan algebras

Rothaus, O. S.

doi:10.1090/S0002-9947-1982-0648086-7

Siegel domains and representations of Jordan algebras
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Trans. Amer. Math. Soc. 271 (1982), 197-213 Request permission

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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