The Heisenberg double of the quantum Euclidean group and its representations

Wenqing Tao

The Heisenberg double $D_q(E_2)$ of the quantum Euclidean group ${\mathcal{O}}_q(E_2)$ is the smash product of ${\mathcal{O}}_q(E_2)$ with its Hopf dual $U_q({\mathfrak{e}}_2)$. For the…