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Results tagged with central-simple-algebras
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user 170182
4
votes
0
answers
227
views
Fixing error in a proof from "Central simple algebras and Galois cohomology"
I'm trying to understand the proof of Proposition 2.2.10 in Gille-Samuely's book "Central simple algebras and Galois cohomology" (2nd edition), and I believe it has an error.
Here's the setup (which I …
- 103
6
votes
1
answer
259
views
Hasse invariant and the Clifford algbera
Let
$$q = a_1 x_1^2 + \cdots + a_n x_n^2$$
be a quadratic form over some $p$-adic field $\mathbb{Q}_p$. We thus have its Hasse invariant
$$\mathcal{h}(q) = \prod_{1 \leq i < j \leq n} (a_i,a_j)_p \in …
- 103