Title

Compactification structure and conformal compressions of symmetric cones

Document Type

Article

Publication Date

12-1-2000

Abstract

In this paper we show that the boundary of a symmetric cone Ω in the standard real conformal compactification M of its containing euclidean Jordan algebra V has the structure of a double cone, with the points at infinity forming one of the cones. We further show that Ω̄M admits a natural partial order extending that of Ω. Each element of the compression semigroup for Ω is shown to act in an order-preserving way on Ω̄M and carries it into an order interval contained in Ω̄M.

Publication Source (Journal or Book title)

Journal of Lie Theory

First Page

375

Last Page

381

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