Abstract
Based on the theory of compact normal left-symmetric algebra (clan), we realize every homogeneous cone as a set of positive definite real symmetric matrices, where homogeneous Hessian metrics as well as a transitive group action on the cone are described efficiently.
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APA
Ishi, H. (2015). Matrix realization of a homogeneous cone. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9389, pp. 248–256). Springer Verlag. https://doi.org/10.1007/978-3-319-25040-3_28
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