An application of Nakayama functor in representation stability theory
Representation Theory
2017-10-17 v1 Rings and Algebras
Abstract
Using the Nakayama functor, we construct an equivalence from a Serre quotient category of a category of finitely generated modules to a category of finite-dimensional modules. We then apply this result to the categories FI and VI, and answer positively an open question of Nagpal on representation stability theory.
Keywords
Cite
@article{arxiv.1710.05493,
title = {An application of Nakayama functor in representation stability theory},
author = {Wee Liang Gan and Liping Li and Changchang Xi},
journal= {arXiv preprint arXiv:1710.05493},
year = {2017}
}
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