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

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dc.creatorCox, Ben
dc.creatorFutorny, Vyacheslav
dc.creatorMisra, Kailash C.
dc.date2009-03-05
dc.date.accessioned2026-07-07T12:49:23Z
dc.date.available2026-07-07T12:49:23Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0903.1062
dc.identifierhttp://arxiv.org/abs/0903.1062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222386
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B67, 81R10
dc.titleImaginary Verma modules and Kashiwara algebras for $U_q(\widehat{\mathfrak{sl}(2)})$
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