Imaginary Verma modules and Kashiwara algebras for $U

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222386We consider imaginary Verma modules for quantum affine algebra $U_q(\hat{\mathfrak{sl}(2)})$ and construct Kashiwara type operators and the Kashiwara algebra $\mathcal K_q$. We show that a certain quotient $\mathcal N_q^-$ of $U_q(\hat{\mathfrak{sl}(2)})$ is a simple $\mathcal K_q$-module.Representation TheoryQuantum Algebra17B67, 81R10Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat{\mathfrak{sl}(2)})$text