Full and convex linear subcategories are incompressible
Rings and Algebras
2018-06-12 v2
Abstract
Consider the intrinsic fundamental group \`a la Grothendieck of a linear category using connected gradings. In this article we prove that any full convex subcategory is incompressible, in the sense that the group map between the corresponding fundamental groups is injective. We start by proving the functoriality of the intrinsic fundamental group with respect to full subcategories, based on the study of the restriction of connected gradings.
Keywords
Cite
@article{arxiv.1004.5553,
title = {Full and convex linear subcategories are incompressible},
author = {Claude Cibils and Maria Julia Redondo and Andrea Solotar},
journal= {arXiv preprint arXiv:1004.5553},
year = {2018}
}
Comments
To appear in Proc. Amer. Math. Soc