Vector coherent states on Clifford algebras

The well-known canonical coherent states are expressed as infinite series in powers of a complex number $z$ and a positive integer $\rho(m)=m!$. In analogy with the canonical coherent states, we present a class of vector coherent states by replacing the complex variable $z$ with a real Clifford matrix. We also present another class of vector coherent states by simultaneously replacing $z$ with a real Clifford matrix and $\rho(m)$ with a real matrix. As examples, we present vector coherent states labeled by quaternions and octonions with their real matrix representations. We also present a physical example.