Document Type
Article
Publication Date
1-1-2000
Abstract
In this paper we establish that the causal order determined by an Ol'shanski semigroup on the corresponding homogeneous space is globally hyperbolic. Using this fact, we present sufficient conditions for a special class of Lie semigroups to admit a canonical "triple decomposition," namely those for which the Lie algebra is of Cayley type. This theory applies in particular to semigroups which are naturally associated to euclidean Jordan algebras as the semigroup of compressions of the symmetric cone of the algebra.
Publication Source (Journal or Book title)
Pacific Journal of Mathematics
First Page
393
Last Page
412
Recommended Citation
Lawson, J., & Lim, Y. (2000). Lie semigroups with triple decompositions. Pacific Journal of Mathematics, 194 (2), 393-412. https://doi.org/10.2140/pjm.2000.194.393