Coinduction functor in representation stability theory
Representation Theory
2016-04-14 v3 Rings and Algebras
Abstract
We study the coinduction functor on the category of FI-modules and its variants. Using the coinduction functor, we give new and simpler proofs of (generalizations of) various results on homological properties of FI-modules. We also prove that any finitely generated projective VI-module over a field of characteristic 0 is injective.
Cite
@article{arxiv.1502.06989,
title = {Coinduction functor in representation stability theory},
author = {Wee Liang Gan and Liping Li},
journal= {arXiv preprint arXiv:1502.06989},
year = {2016}
}
Comments
Corrected a few typos in the proof of Lemma 3.1