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marco
  • Member for 4 years, 1 month
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Factoring positive semidefinite matrices over $\mathbb{Q}[i]$
At this point you are asking if any $P\in SL_n (\mathbb{Q})$ is conjugated with the identity via a matrix in $SL_n(\mathbb{Q}[i])$, right?
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Factoring positive semidefinite matrices over $\mathbb{Q}[i]$
(For this reason you have at least assume that the determinant of $P$ is a n-th power of a number in $\mathbb{Q}[i]$)
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Proof of “Hochschild-Serre” spectral sequence
(for the proof above without all the spectral sequence I found also Gille-Szamuely: math.ens.fr/~benoist/refs/Gille-Szamuely.pdf)
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Proof of “Hochschild-Serre” spectral sequence
Thank you all! Now I have only to work on $\text{Ker}(\text{Inf:}H^2(K^{ur}/K,T^{I_K})\rightarrow H^2(K,T) )$ and see that it is $0$ if $T$ is unramified.
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Proof of “Hochschild-Serre” spectral sequence
I would like to understand three things: the action of $G/H$; why the sequence is exact in $H^1(H,A)^{G/H}$; why H^2(K^{ur}/K, T^{I_K})=0.
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