# Ring detail

## Name: Quaternions: $\mathbb H$

Description: Set of complex matrices $\left[\begin{smallmatrix}a&b\\-\bar b&\bar a\end{smallmatrix}\right]$ with positive real determinant, real clifford algebra for real space of signature (-,-)

Notes:

Keywords subring matrix ring

Reference(s):

• (Citation needed)

• This ring has the following properties:
The ring lacks the following properties:
We don't know if the ring has or lacks the following properties: