Coinduction functor in representation stability theory

Wee Liang Gan Liping Li

K-Theory and Homology Representation Theory Rings and Algebras mathscidoc:1702.02007

J. Lond. Math. Soc., 92, 689-711, 2015
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.
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@inproceedings{wee2015coinduction,
  title={Coinduction functor in representation stability theory},
  author={Wee Liang Gan, and Liping Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222104509604811495},
  booktitle={J. Lond. Math. Soc.},
  volume={92},
  pages={689-711},
  year={2015},
}
Wee Liang Gan, and Liping Li. Coinduction functor in representation stability theory. 2015. Vol. 92. In J. Lond. Math. Soc.. pp.689-711. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222104509604811495.
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