A Model Categoric Equivalence for Crossed Simplicial Modules

Atabey Kaygun; Haydar Can Kaya

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A Model Categoric Equivalence for Crossed Simplicial Modules

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arxiv 2402.19291 v3 pith:XOO5KL6T submitted 2024-02-29 math.AT math.CT

Haydar Can Kaya , Atabey Kaygun This is my paper · ORCID

classification math.ATmath.CT

keywords simplicialcategorycrossedequivalencemodelcategoriccategoricalcharacteristic

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abstract

We construct a model categorical equivalence between the category of simplicial vector spaces and the category of representations of a crossed simplicial group $\Delta G$ when each $G_n$ is finite and the characteristic of the ground field is 0.

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