On Harder-Narasimhan filtrations and their compatibility with tensor products
Number Theory
2019-11-11 v2 Category Theory
Metric Geometry
Abstract
We attach buildings to modular lattices and use them to develop a metric approach to Harder-Narasimhan filtrations. Switching back to a categorical framework, we establish an abstract numerical criterion for the compatibility of these filtrations with tensor products. We finally verify our criterion in three cases, one of which is new.
Keywords
Cite
@article{arxiv.1703.08047,
title = {On Harder-Narasimhan filtrations and their compatibility with tensor products},
author = {Christophe Cornut},
journal= {arXiv preprint arXiv:1703.08047},
year = {2019}
}