15. ÖMG-Kongress
Jahrestagung der Deutschen Mathematikervereinigung
16. bis 22. September 2001 in Wien
Sektion 6 - Topologie, Differentialgeometrie
Montag, 17. September 2001, 16.30, Hörsaal NIG III
On Lie order structures and aliens
Brigitte E. Breckner, Boku Wien
(Koautor: Wolfgang A.F. Ruppert)
This talk presents a short survey over some recent
results connected with orders 
on a Lie group 
. One of
the central tasks in this context is to find conditions under
which order intervals are compact, so that, e.g., Volterra kernels
can be defined. We define and describe the set of alien elements
in the semigroup of elements 
as a kind of
``obstruction'' to compactness of order intervals. In particular,
we give explicit results in the case of 
.
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