Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid

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dc.creatorHeckenberger, I.
dc.creatorSpill, F.
dc.creatorTorrielli, A.
dc.creatorYamane, H.
dc.date2007-05-08
dc.date2008-05-02
dc.date.accessioned2026-07-07T13:01:25Z
dc.date.available2026-07-07T13:01:25Z
dc.descriptionWe obtain Drinfeld second realization of the quantum affine superalgebras associated with the affine Lie superalgebra $D^{(1)}(2,1;x)$. Our results are analogous to those obtained by Beck for the quantum affine algebras. Beck's analysis uses heavily the (extended) affine Weyl groups of the affine Lie algebras. In our approach the structures are based on a Weyl groupoid.
dc.description40 pages, 1 figure. close to the final version to appear in RIMS Kokyuroku Bessatsu (Besstsu) B8 (2008) 171-216
dc.identifierhttps://arxiv.org/abs/0705.1071
dc.identifierhttp://arxiv.org/abs/0705.1071
dc.identifierPubl.Res.Inst.Math.Sci.Kyoto B8:171,2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226143
dc.subjectQuantum Algebra
dc.subject17B37; 17B65; 20F55
dc.titleDrinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid
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