The artin-wedderburn tag has no wiki summary.

**0**

votes

**1**answer

199 views

### Representation quaternions as matrices

char F≠2,
a,b invertable from F,
A(a,b) - generalised quaternions. Using Artin–Wedderburn theorem there is a representation of them over F. I found representation as Q8 but it's not over F. So, how to ...

**3**

votes

**1**answer

360 views

### Is there a good version of Artin-Wedderburn for semisimple algebra objects?

Artin-Wederburn says that if you have a semisimple algebra then it is a product of matrix algebras over division rings.
Suppose that C is a fusion category over the complex numbers (if you want to ...