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

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

2009-03-05

arxiv.org/abs/0903.1062v1

Mathematics

Representation Theory

Scientific paper

We 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.

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