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Preprints, Working Papers, ... Year : 2021

Representations of Deligne-Mostow lattices into PGL(3, C)

Abstract

We classify representations of a class of Deligne-Mostow lattices into PGL(3, C). In particular, we show local rigidity for the representations (of Deligne-Mostow lattices with 3-fold symmetry and of type one) where the generators we chose are in the same conjugacy class as the generators of Deligne-Mostow lattices. We use formal computations in SAGE to obtain the results. The code files are available on GitHub ([FPUP21]).
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Dates and versions

hal-03313111 , version 1 (03-08-2021)

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Elisha Falbel, Irene Pasquinelli, Alejandro Ucan-Puc. Representations of Deligne-Mostow lattices into PGL(3, C). 2021. ⟨hal-03313111⟩
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