Algebraic description of homogeneous cones
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- by Josef Dorfmeister
- Trans. Amer. Math. Soc. 255 (1979), 61-89
- DOI: https://doi.org/10.1090/S0002-9947-1979-0542871-8
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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.References
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Bibliographic Information
- © Copyright 1979 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 255 (1979), 61-89
- MSC: Primary 53C30; Secondary 17C35, 32M10
- DOI: https://doi.org/10.1090/S0002-9947-1979-0542871-8
- MathSciNet review: 542871