Geodesic
Biased permutative equivariant categories
Homology, homotopy, and applications, Tome 23 (2021) no. 1, pp. 77-100.

Voir la notice de l'article provenant de la source International Press of Boston

For a finite group $G$, we introduce the complete suboperad $\mathcal{Q}_G$ of the categorical $G$-Barratt–Eccles operad $\mathcal{P}_G$. We prove that $\mathcal{P}_G$ is not finitely generated, but $\mathcal{Q}_G$ is finitely generated and is a genuine $E_\infty$ $G$-operad (i.e., it is $N_\infty$ and includes all norms). For $G$ cyclic of order $2$ or $3$, we determine presentations of the object operad of $\mathcal{Q}_G$ and conclude with a discussion of algebras over $\mathcal{Q}_G$, which we call biased permutative equivariant categories.
DOI : 10.4310/HHA.2021.v23.n1.a6
Classification : 18D10, 18D50, 55P48, 55P91
Keywords: equivariant symmetric monoidal category, operad 
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     author = {Kayleigh Bangs and Skye Binegar and Young Kim and Kyle Ormsby and Ang\'elica M. Osorno and David Tamas-Parris and Livia Xu},
     title = {Biased permutative equivariant categories},
     journal = {Homology, homotopy, and applications},
     pages = {77--100},
     publisher = {mathdoc},
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     year = {2021},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2021.v23.n1.a6/}
}
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Kayleigh Bangs; Skye Binegar; Young Kim; Kyle Ormsby; Angélica M. Osorno; David Tamas-Parris; Livia Xu. Biased permutative equivariant categories. Homology, homotopy, and applications, Tome 23 (2021) no. 1, pp. 77-100. doi : 10.4310/HHA.2021.v23.n1.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2021.v23.n1.a6/

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