Local rigidity of higher rank homogeneous abelian actions: a complete solution via the geometric method (Q2417672)

The authors show local and cocycle rigidity for most abelian higher-rank partially hyperbolic algebraic actions on homogeneous spaces obtained from semisimple Lie groups as well as their semidirect products. Their techniques combine a geometric method and the theory of central extensions. One notices the treatment of (i) abelian actions which are not restrictions of Weyl chamber flows; and (ii) partially hyperbolic twisted symmetric spaces.