An application of Nakayama functor in representation stability theory

Wee Liang Gan UC Riverside Liping Li Hunan Normal University Changchang Xi Capital Normal University

Representation Theory Rings and Algebras mathscidoc:1711.30001

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_G and VI_q, and answer positively an open question of Nagpal on representation stability theory.
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@inproceedings{weean,
  title={An application of Nakayama functor in representation stability theory},
  author={Wee Liang Gan, Liping Li, and Changchang Xi},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20171123171102683965857},
}
Wee Liang Gan, Liping Li, and Changchang Xi. An application of Nakayama functor in representation stability theory. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20171123171102683965857.
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