Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat{\mathfrak{sl}(2)})$

Ben Cox, Vyacheslav Futorny, Kailash C. Misra

We consider imaginary Verma modules for quantum affine algebra $U_q(\widehat{\mathfrak{sl}(2)})$ and construct Kashiwara type operators and the Kashiwara algebra ${\mathcal{K}}_q$. We sho…