Biased permutative equivariant categories
| Autor: | Bangs, Kayleigh, Binegar, Skye, Kim, Young, Ormsby, Kyle, Osorno, Angélica M., Tamas-Parris, David, Xu, Livia |
|---|---|
| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | For a finite group G, we introduce the complete suboperad $Q_G$ of the categorical G-Barratt-Eccles operad $P_G$. We prove that $P_G$ is not finitely generated, but $Q_G$ 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 $Q_G$ and conclude with a discussion of algebras over $Q_G$, which we call biased permutative equivariant categories. Comment: To appear in HHA |
| Databáze: | arXiv |
| Externí odkaz: |
|