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arxiv: 1906.03120 · v1 · pith:664HHE6Vnew · submitted 2019-06-07 · 🧮 math.GT

Rigidity of diagonally embedded triangle groups

classification 🧮 math.GT
keywords groupsrigiditytrianglecompositiondiagonaldiagonallydimensionalembedded
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We show local rigidity of hyperbolic triangle groups generated by reflections in pairs of $n$-dimensional subspaces of $R^{2n}$ obtained by composition of the geometric representation in $PGL(2, R)$ with the diagonal embeddings into $PGL(2n, R)$ and $PSp^\pm(2n, R)$.

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