Matrix realization of a homogeneous cone - Hideyuki Ishi
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Author(s): Hideyuki Ishi
DOI URL: http://dx.doi.org/10.1007/978-3-319-25040-3_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 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.