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An application of Nakayama functor in representation stability theory

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arxiv 1710.05493 v1 pith:I4BP5T54 submitted 2017-10-16 math.RT math.RA

Wee Liang Gan , Liping Li , Changchang Xi This is my paper · ORCID
classification math.RTmath.RA
keywords categoryfunctormodulesnakayamarepresentationstabilitytheoryanswer
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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$_G$ and VI$_q$, and answer positively an open question of Nagpal on representation stability theory.

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