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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  title={Coinduction functor in representation stability theory},
  author={Wee Liang Gan, and Liping Li},
  booktitle={J. Lond. Math. Soc.},
Wee Liang Gan, and Liping Li. Coinduction functor in representation stability theory. 2015. Vol. 92. In J. Lond. Math. Soc.. pp.689-711.
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