Matrix realization of a homogeneous cone

28/10/2015
Auteurs : Hideyuki Ishi
Publication GSI2015
OAI : oai:www.see.asso.fr:11784:14281
DOI : http://dx.doi.org/10.1007/978-3-319-25040-3_28You do not have permission to access embedded form.

Résumé

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.

Matrix realization of a homogeneous cone

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        <identifier identifierType="DOI">10.23723/11784/14281</identifier><creators><creator><creatorName>Hideyuki Ishi</creatorName></creator></creators><titles>
            <title>Matrix realization of a homogeneous cone</title></titles>
        <publisher>SEE</publisher>
        <publicationYear>2015</publicationYear>
        <resourceType resourceTypeGeneral="Text">Text</resourceType><subjects><subject>Homogeneous cone</subject><subject>Left-symmetric algebra</subject><subject>Hessian metric</subject></subjects><dates>
	    <date dateType="Created">Sat 7 Nov 2015</date>
	    <date dateType="Updated">Wed 31 Aug 2016</date>
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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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