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Published online by Cambridge University Press: 20 August 2020
We show local rigidity of hyperbolic triangle groups generated by reflections in pairs of n-dimensional subspaces of
$\mathbb {R}^{2n}$
obtained by composition of the geometric representation in
$\mathsf {PGL}(2,\mathbb {R})$
with the diagonal embeddings into
$\mathsf {PGL}(2n,\mathbb {R})$
and
$\mathsf {PSp}^\pm (2n,\mathbb {R})$
.