Mathematics – Group Theory
Scientific paper
2010-11-15
Mathematics
Group Theory
Revised version, to appear in Journal of Lie Theory
Scientific paper
We study three natural bi-invariant partial orders on a certain covering group of the automorphism group of a bounded symmetric domain of tube type; these orderings are defined using the geometry of the Shilov boundary, Lie semigroup theory and quasimorphisms respectively. Our main result shows that these orders are related by two inclusion relations. In the case of $SL_2(\R)$ we can show that they coincide.
Hartnick Tobias
Simon Gabi Ben
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