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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Algebraic description of homogeneous cones

Author: Josef Dorfmeister
Journal: Trans. Amer. Math. Soc. 255 (1979), 61-89
MSC: Primary 53C30; Secondary 17C35, 32M10
MathSciNet review: 542871
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Abstract: This paper finishes the author's investigations on homogeneous cones. As a result a classification of homogeneous cones is derived. The most important tool to get insight into the structure of homogeneous cones are J-morphisms. Therefore, in this paper we mainly deal with morphisms of homogeneous cones. The main result gives an algebraic description of J-morphisms. It includes a description of ``Linear imbeddings of self-dual homogeneous cones'' and the above mentioned classification of homogeneous cones. In a subsequent paper it will be used to describe homogeneous Siegel domains.

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Additional Information

PII: S 0002-9947(1979)0542871-8
Keywords: Homogeneous cone, infinitesimal automorphism, Jordan algebra
Article copyright: © Copyright 1979 American Mathematical Society

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