Operads and equivariance
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915877500223488 |
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| author | Corner, Alexander Gurski, Nick |
| author_facet | Corner, Alexander Gurski, Nick |
| contents | Operads were originally defined by May to have right actions of the symmetric groups, but later formulations have also used no groups actions at all or group actions by such families as the braid groups. We call such families action operads, as they are the algebraic objects that encode parametrized group actions on operads. In Part I of this paper, we study the basic algebra of action operads $Λ$ and the $Λ$-operads they act upon. In Part II, we study $Λ$-operads in the 2-category of small categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_19854 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Operads and equivariance Corner, Alexander Gurski, Nick Category Theory Algebraic Topology 18D50, 18D05, 18D10, 20J99, 55N91 Operads were originally defined by May to have right actions of the symmetric groups, but later formulations have also used no groups actions at all or group actions by such families as the braid groups. We call such families action operads, as they are the algebraic objects that encode parametrized group actions on operads. In Part I of this paper, we study the basic algebra of action operads $Λ$ and the $Λ$-operads they act upon. In Part II, we study $Λ$-operads in the 2-category of small categories. |
| title | Operads and equivariance |
| topic | Category Theory Algebraic Topology 18D50, 18D05, 18D10, 20J99, 55N91 |
| url | https://arxiv.org/abs/2603.19854 |