Inductive construction of homogeneous cones
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- by Josef Dorfmeister
- Trans. Amer. Math. Soc. 252 (1979), 321-349
- DOI: https://doi.org/10.1090/S0002-9947-1979-0534125-0
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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.References
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Bibliographic Information
- © Copyright 1979 American Mathematical Society
- 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