Year: 2026
Type: preprint
Abstract: For a map of Tambara functors $R \rightarrow T$ we define when $T$ is separable over $R$ and if $T$ carries an action by some finite group $H$ that fixes $R$ we also define when $R \rightarrow T$ is an $H$-Galois extension of Tambara functors. We show that flat and separable extensions are (formally) étale in the sense of Hill and that Galois extensions are separable. We prove that the Burnside Tambara functor is separably closed and we express Nullstellensatzian Tambara functors as filtered colimits of Galois extensions.
Source: arXiv (Cornell University)
Author: Richter, Birgit
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7167571591