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Formal confluence of
quantum differential operators
Bernard Le Stum and Adolfo Quirós |
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Vol. 292 (2018), No. 2, 427–478
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Abstract |
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We prove that a differential operator in the usual sense is formally the limit of quantum differential operators. For this purpose, we introduce the notion of a twisted differential operator of infinite level and prove that, formally, such an object is independent of the choice of the twist. Our method provides explicit formulas. |
Keywords
$q$-difference, differential operator, confluence
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Mathematical Subject Classification 2010
Primary: 12H10
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Milestones
Received: 7 April 2017
Accepted: 12 June 2017
Published: 17 October 2017
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Authors |
| Bernard Le Stum | |
| Institut de Recherche Mathématique
(IRMAR) Universite de Rennes I Campus de Beaulieu 35042 Rennes France |
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| Adolfo Quirós | |
| Departamento de Matemáticas Universidad Autónoma de Madrid Ciudad Universitaria de Cantoblanco 28049 Madrid Spain |
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