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Transactions of the American Mathematical Society

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

 

 

Inductive construction of homogeneous cones


Author: Josef Dorfmeister
Journal: Trans. Amer. Math. Soc. 252 (1979), 321-349
MSC: Primary 32M10; Secondary 17C35, 53C30
DOI: https://doi.org/10.1090/S0002-9947-1979-0534125-0
MathSciNet review: 534125
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Abstract: A method is explained how to construct all homogeneous cones in a unique way out of lower dimensional ones. The infinitesimal automorphisms of such a cone and its associated left-symmetric algebras are described in terms of the lower dimensional constituents of the cone. It is characterized when a homogeneous cone is self-dual or a sum of homogeneous cones.


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DOI: https://doi.org/10.1090/S0002-9947-1979-0534125-0
Keywords: Homogeneous cone, infinitesimal automorphism, Jordan algebra
Article copyright: © Copyright 1979 American Mathematical Society