Adjoint functors on the representation category of $\mathscr{OI}$

Liping Li; Wee Liang Gan

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Adjoint functors on the representation category of $\mathscr{OI}$

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arxiv 2102.04638 v1 pith:YUMNZYXT submitted 2021-02-09 math.RT math.RA

Wee Liang Gan , Liping Li This is my paper · ORCID

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keywords categorymodulesfinitefinitelyfunctorsgeneratedrepresentationadjoint

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In this paper we study adjunction relations between some natural functors on the representation category of the category of finite linearly ordered sets and order-preserving injections. We also prove that the Nakayama functor induces an equivalence from the Serre quotient of the category of finitely generated modules by the category of finitely generated torsion modules to the category of finite dimensional modules.

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