stefan
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Unregistered User
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Mar 9 |
comment |
Tannaka Duality The point is how you explain my example. If you think (1) is a one to one correspondence between the set of homomorphisms from $G_1$ to $G_2$ and the set of "isomorphism class" of functors then my example is a counterexample for you. |
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Mar 8 |
comment |
Tannaka Duality It commutes. The functor is induced by the inner group automorphism, so it commutes. This is the way we define the correspondence in (1). |
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Mar 8 |
comment |
Tannaka Duality Because (2) only provides an equivalence, not an isomorphism of categories. Because of this we have to choose a quasi-inverse which is very non-canonical. |
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Mar 8 |
revised |
Tannaka Duality added 522 characters in body |
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Mar 8 |
comment |
Tannaka Duality I assume $b$ is a functor not an isomorphism class of functors. |
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Mar 8 |
asked | Tannaka Duality |
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Jan 27 |
revised |
Flat cohomology for finite infinitesimal group scheme over a perfect field added 3 characters in body; edited title |
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Jan 27 |
awarded | ● Editor |
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Jan 27 |
revised |
Flat cohomology for finite infinitesimal group scheme over a perfect field added 35 characters in body |
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Jan 27 |
comment |
Flat cohomology for finite infinitesimal group scheme over a perfect field Sorry, I meant for commutative finite infinitesimal groups. |
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Jan 27 |
comment |
Flat cohomology for finite infinitesimal group scheme over a perfect field I know for $\mu_p$ and $\alpha_p$ these are trivial. Do I have more examples? Are these all trivial for commutative finite groups? |
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Jan 27 |
asked | Flat cohomology for finite infinitesimal group scheme over a perfect field |
