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arXiv · 1308.1974

Kashiwara Algebras and Imaginary Verma Modules for $U_q(\hat{\mathfrak{g}})$

Ben Cox·Vyacheslav Futorny·Kailash C. Misra
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Abstract

We consider imaginary Verma modules for quantum affine algebra $U_q(\hat{\mathfrak{g}})$, where $\hat{\mathfrak{g}}$ is of type 1 i.e. of non-twisted type, and construct Kashiwara type operators and the Kashiwara algebra $\mathcal K_q$. We show that a certain quotient $\mathcal N_q^-$ of $U_q(\hat{\mathfrak{g}})$ is a simple $\mathcal K_q$-module.

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Ben Cox, Vyacheslav Futorny, Kailash C. Misra. 2013-08-15. Kashiwara Algebras and Imaginary Verma Modules for $U_q(\hat{\mathfrak{g}})$. https://arxiv.org/abs/1308.1974

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