# Ring detail

## Name: $\mathbb H$: Hamilton's quaternions

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 (-,-)

Krull dimension: 0

Keywords matrix ring subring

Reference(s):

• (Citation needed)