Matrix realization of a homogeneous cone  Hideyuki Ishi

Author(s): Hideyuki Ishi
DOI URL: http://dx.doi.org/10.1007/9783319250403_28
Video: http://www.youtube.com/watch?v=sdB0NTRSuUE
Slides: Ishi_Matrix realisation homogenous cone.pdf
Presentation: https://www.see.asso.fr/node/14281Abstract:
Based on the theory of compact normal leftsymmetric 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.