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math.RT2002
Real representations of semisimple Lie algebras have Q-forms
Dave Witte
We prove that each real semisimple Lie algebra G has a Q-form, such that every real representation of G can be realized over the rational numbers Q. This was previously proved by M…
math.RT2001
Superrigid subgroups and syndetic hulls in solvable Lie groups
Dave Witte
This is an expository paper. It is not difficult to see that every group homomorphism from the additive group Z of integers to the additive group R of real numbers extends to a hom…
math.RT2000
Cartan-decomposition subgroups of SU(2,n)
Alessandra Iozzi, Dave Witte
We give explicit, practical conditions that determine whether or not a closed, connected subgroup H of G = SU(2,n) has the property that there exists a compact subset C of G with C…