Monotone Functions on Formally Real Jordan Algebras.
A relatively simple algebraic framework is given, in which all the compact symmetric spaces can be described and handled without distinguishing cases. We also give some applications and further results.
The action of the conformal group on may be characterized in differential geometric terms, even locally: a theorem of Liouville states that a map between domains and in whose differential is a (variable) multiple of a (variable) isometry at each point of is the restriction to of a transformation , for some in . In this paper, we consider the problem of characterizing the action of a more general semisimple Lie group on the space , where is a parabolic subgroup. We solve...
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