Reconstruction of universal Drinfeld twists from representations

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dc.creatorBlohmann, Christian
dc.date2004-10-20
dc.date.accessioned2026-07-07T05:13:27Z
dc.date.available2026-07-07T05:13:27Z
dc.descriptionUniversal Drinfeld twists are inner automorphisms which relate the coproduct of a quantum enveloping algebra to the coproduct of the undeformed enveloping algebra. Even though they govern the deformation theory of classical symmetries and have appeared in numerous applications, no twist for a semi-simple quantum enveloping algebra has ever been computed. It is argued that universal twists can be reconstructed from their well known representations. A method to reconstruct an arbitrary element of the enveloping algebra from its irreducible representations is developed. For the twist this yields an algebra valued generating function to all orders in the deformation parameter, expressed by a combination of basic and ordinary hypergeometric functions. An explicit expression for the universal twist of su(2) is given up to third order.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0410448
dc.identifierhttp://arxiv.org/abs/math/0410448
dc.identifierJ.Math.Phys. 46 (2005) 053519
dc.identifierdoi:10.1063/1.1901344
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72950
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subject17B37; 80R50; 17B10
dc.titleReconstruction of universal Drinfeld twists from representations
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