Definition
Let \(\mathcal M\) be a stack over \(S\) and let \(G\) be a sheaf in groups over \(S\). Let \(m\) denote the multiplication of \(G\) and let \(e\) be its unit section. Let \(T\) be an \(S\)-scheme.
- An action of \(G\) on \(\mathcal M\) is a triple \((\mu, \alpha, \mathfrak a)\) where \(\mu:G\times \mathcal M\to \mathcal M\) is a morphism of groupoids satisfying the diagrams
[diagram failed to compile] latex failed: put line 36. (/usr/local/texlive/2024/texmf-dist/tex/latex/enumitem/enumitem.sty)) (/usr/local/texlive/2024/texmf-dist/tex/latex/mathalpha/mathalpha.sty `mathalpha' v1.145, 2025/01/17, a renaming of mathalfa (msharpe)) (/usr/local/texlive/2024/texmf-dist/tex/latex/calrsfs/calrsfs.sty) (/usr/local/texlive/2024/texmf-dist/tex/latex/base/fontenc.sty)) (./d.aux) (/usr/local/texlive/2024
NOT FINISHED