Quantization of formal classical dynamical r-matrices: the reductive case

dc.creatorCalaque, Damien
dc.date2004-12-02
dc.date2005-05-05
dc.date.accessioned2026-07-07T06:29:32Z
dc.date.available2026-07-07T06:29:32Z
dc.descriptionIn this paper we prove the existence of a formal dynamical twist quantization for any triangular and non-modified formal classical dynamical $r$-matrix in the reductive case. The dynamical twist is constructed as the image of the dynamical $r$-matrix by a $L_\infty$-quasi-isomorphism. This quasi-isomorphism also allows us to classify formal dynamical twist quantizations up to gauge equivalence.
dc.description13 pages, 1 section added (classification of dynamical twists), LaTeX, final version, to appear in Adv. Math
dc.identifierhttps://arxiv.org/abs/math/0412042
dc.identifierhttp://arxiv.org/abs/math/0412042
dc.identifierAdv. Math. 204 (2006), no. 1, 84-100
dc.identifierdoi:10.1016/j.aim.2005.05.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98062
dc.subjectQuantum Algebra
dc.titleQuantization of formal classical dynamical r-matrices: the reductive case
dc.typetext

Files

Collections