Adjoint functors on the representation category of $\mathscr{OI}$
Representation Theory
2021-02-10 v1 Rings and Algebras
Abstract
In this paper we study adjunction relations between some natural functors on the representation category of the category of finite linearly ordered sets and order-preserving injections. We also prove that the Nakayama functor induces an equivalence from the Serre quotient of the category of finitely generated modules by the category of finitely generated torsion modules to the category of finite dimensional modules.
Keywords
Cite
@article{arxiv.2102.04638,
title = {Adjoint functors on the representation category of $\mathscr{OI}$},
author = {Wee Liang Gan and Liping Li},
journal= {arXiv preprint arXiv:2102.04638},
year = {2021}
}