Factorizable D-modules

Simple item page
dc.creatorKhoroshkin, Sergei
dc.creatorSchechtman, Vadim
dc.date1996-11-18
dc.date.accessioned2026-07-07T09:17:20Z
dc.date.available2026-07-07T09:17:20Z
dc.descriptionA braided tensor category $FM_κ$ of `factorizable D-modules' over configuration spaces is introduced, analogous to the category $FS_q$ of factorizable sheaves from q-alg/9604001. This category is equivalent to the category of finite dimensional representations of a complex semisimple Lie algebra $\frak{g}$, with the Drinfeld's Knizhnik-Zamolodchikov tensor product. This description, together with the result of op.cit., gives a new, "Riemann-Hilbert" proof of the Drinfeld's theorem establishing an equivalence of the above tensor category with the category of finite dimensional $U_q\frak{g}$-modules ($q=\exp(2πi/kappa)$, $κ$ irrational).
dc.descriptionamslatex, 18 pp
dc.identifierhttps://arxiv.org/abs/q-alg/9611018
dc.identifierhttp://arxiv.org/abs/q-alg/9611018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153630
dc.subjectQuantum Algebra
dc.titleFactorizable D-modules
dc.typetext

Files

Collections

arXiv