Timeline for Brauer group elements of order $2$
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 23, 2012 at 17:04 | comment | added | Daniel Loughran | What I am getting at is do you know examples of fields for which this can this happen? | |
| Oct 23, 2012 at 16:59 | comment | added | user19475 |
I suppose not every element of $K^M_2(K)/2$ is equivalent to a pure symbol $\{a,b\}$, so I guess the answer is "no".
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| Oct 23, 2012 at 16:42 | comment | added | Daniel Loughran | Thanks for the answer, but I just want to clarify how it relates to my question. This theorem says that such a divison algebra $D$ is similar to a tensor product of quaternion algebras $Q_1\ldots Q_n$. But my question is asking whether there exists a field $K$ and a $D$ where one may not choose such a representation with $n=1$. | |
| Oct 23, 2012 at 16:23 | history | answered | user19475 | CC BY-SA 3.0 |