Relating homogeneous cones and positive definite cones via T-algebras

T-algebras are nonassociative algebras defined by Vinberg in the early 1960s for the purpose of studying homogeneous cones. Vinberg defined a cone K(A) for each T-algebra A and proved that every homogeneous cone is isomorphic to one such K(A). We relate each T-algebra A with a space of linear operat...

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Bibliographic Details
Main Author: Chua, Chek Beng.
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2009
Subjects:
Online Access:https://hdl.handle.net/10356/90513
http://hdl.handle.net/10220/4702