Representations of Deligne-Mostow lattices into PGL(3, C)
Representation Theory
2022-07-04 v2
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 of the same type as the generators of Deligne-Mostow lattices. We also show local rigidity without constraints on the type of generators for six of them and we show the existence of local deformations for a number of representations in three of them. We use formal computations in SAGE and Maple to obtain the results. The code files are available on GitHub.
Keywords
Cite
@article{arxiv.2108.02631,
title = {Representations of Deligne-Mostow lattices into PGL(3, C)},
author = {E Falbel and I Pasquinelli and A Ucan-Puc},
journal= {arXiv preprint arXiv:2108.02631},
year = {2022}
}