If I have a field extension $K/k$, a Tannakian category $\mathcal{C}$ over $k$, and two fiber functors $$\omega_1, \omega_2: \mathcal{C} \rightarrow \text{Vec}_K$$ then are the two resulting automorphism group schemes isomorphic?
2026-03-26 01:09:35.1774487375
Automorphism groups of different fiber functors isomorphic?
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