Matrix realization of a homogeneous cone - Hideyuki Ishi
Author(s): Hideyuki Ishi
DOI URL: http://dx.doi.org/10.1007/978-3-319-25040-3_28
Slides: Ishi_Matrix realisation homogenous cone.pdf
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.