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Does a quaternion algebra exist over a number field that is split over some infinite real pl...

Let $F$ be a totally real number field having at least two different real embeddings $\sigma_1 : F \hookrightarrow \mathbb{R}$ and $\sigma_2 : F \hookrightarrow \mathbb{R}$. Does a quaternion algebra …
Doryan Temmerman's user avatar