Equivariant categories and symmetric monoidal categories
Equivariant operads
symmetric monoidal (∞,1)-category of spectra
Indexed coproducts are to tensor products as equivariant symmetric monoidal categories are to symmetric monoidal categories.
Let be a subgroup of a finite group and a finite -set. The equivalence identifies with a canonical map .
Postcomposition along yields a natural transformation between evaluation functors , each sending . If is product-preserving (i.e. it is a G-symmetric monoidal ∞-category), then we refer to the value of this natural transformation on as the indexed tensor functor, and write it as
Parametrized Higher Category Theory and Higher Algebra, G-∞-category, equivariant symmetric monoidal category
Originally,
Since then,
Denis Nardin, Jay Shah, Parametrized and equivariant higher algebra, (arxiv:2203.00072)
Shaul Barkan, Rune Haugseng, Jan Steinebrunner, Envelopes for Algebraic Patterns, (2022) (arXiv:2208.07183)
Created on July 30, 2024 at 14:07:56. See the history of this page for a list of all contributions to it.