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Article Contents

# Local rigidity of partially hyperbolic actions

• We consider partially hyperbolic abelian algebraic high-rank actions on compact homogeneous spaces obtained from simple indefinite orthogonal and unitary groups. In the first part of the paper, we show local differentiable rigidity for such actions. The conclusions are based on progress toward computations of the Schur multipliers of these non-split groups, which is the main aim of the second part.
Mathematics Subject Classification: Primary: 37D; Secondary: 19C, 22E.

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