Parabolic Positive Representations of ${\mathcal{U}}_q({\mathfrak{g}}_{\mathbb{R}})$

Ivan Chi-Ho Ip

We construct a new family of irreducible representations of ${\mathcal{U}}_q({\mathfrak{g}}_{\mathbb{R}})$ and its modular double by quantizing the classical parabolic induction correspo…