# JORDAN ALGEBRAS ASSOCIATED TO T-ALGEBARS

• Jang, Young-Ho (Department of Mathematics, Inha University, Incheon 402-751)
• Published : 1995.08.01

#### Abstract

Let $V \subset R^n$ be a convex homogeneous cone which does not contain straight lines, so that the automorphism group $$G = Aut(R^n, V)^\circ = { g \in GL(R^n) \mid gV = V}^\circ$$ ($\circ$ denoting the identity component) acts transitively on V. A convex cone V is called "self-dual" if V coincides with its dual $$(1.1) V' = { x' \in R^n \mid < x, x' > > 0 for all x \in \bar{V} - {0}}$$ where $\bar{V}$ denotes the closure of V.sure of V.