Igor A. Rapinchuk, Joshua Ruiter
Published 2021-07-15Version 1
We analyze the abstract representations of the groups of rational points of even-dimensional quasi-split special unitary groups associated with quadratic field extensions. We show that, under certain assumptions, such representations have a standard description, as predicted by a conjecture of Borel and Tits. Our method extends the approach introduced by the first author to study abstract representations of Chevalley groups and is based on the construction and analysis of a certain algebraic ring associated to a given abstract representation.
On abstract homomorphisms of Chevalley groups over the coordinate rings of affine curves
On abstract homomorphisms of algebraic groups
$R_{\infty}$ property for Chevalley groups of types $B_l, C_l, D_l$ over integral domains
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