Two ${\theta }_{\mu \nu }$ -deformed covariant relativistic quantum phase spaces as Poincare-Hopf algebroids

Jerzy Lukierski, Mariusz Woronowicz

We consider two quantum phase spaces which can be described by two Hopf algebroids linked with the well-known ${\theta }_{\mu \nu }$-deformed $D=4$ Poincare-Hopf algebra $\mathbb{H}$. The first…