Representations of Deligne-Mostow lattices into PGL(3, C) -- Part II
Geometric Topology
2021-12-08 v1 Group Theory
Representation Theory
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.
Keywords
Cite
@article{arxiv.2112.03684,
title = {Representations of Deligne-Mostow lattices into PGL(3, C) -- Part II},
author = {Elisha Falbel and Irene Pasquinelli and Alejandro Ucan-Puc},
journal= {arXiv preprint arXiv:2112.03684},
year = {2021}
}