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

Elisha Falbel; Irene Pasquinelli; Alejandro Ucan-Puc

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arXiv · 2112.03684

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

Elisha Falbel·Irene Pasquinelli·Alejandro Ucan-Puc

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Abstract

We complete the classification of type preserving representations of Deligne-Mostow lattices with 3-fold symmetry into PGL(3,C) started in arXiv:2003.06466. In particular, we show local rigidity for all the representations where the generators we chose are of the same type as the generators of the Deligne-Mostow lattices. We use formal computations in SAGE and MAPLE to obtain the results. The code files are available on GitHub.

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Elisha Falbel, Irene Pasquinelli, Alejandro Ucan-Puc. 2021-12-07. Representations of Deligne-Mostow lattices into PGL(3, C) -- Part II. https://arxiv.org/abs/2112.03684

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