Transformation Groups of the Andersson-Perlman Cone

Abstract: An Andersson-Perlman cone is a certain subcone ${\scriptstyle O({\cal K})}$ of the symmetric cone $\scriptstyle O$ of a Euclidean Jordan algebra. We exhibit a subgroup of the automorphism group of ${\scriptstyle O}$ which operates transitively on ${\scriptstyle O({\cal K})}$ and show that ${\scriptstyle O({\cal K})}$ is a simply-connected submanifold of $\scriptstyle O$.

Full text of the article:

• Compressed DVI file (23936 Bytes)
• Compressed Postscript file (54613 Bytes)