Construction of quantized enveloping algebras by cocycle deformation

Simple item page
dc.creatorMasuoka, Akira
dc.date2008-04-16
dc.date2008-12-12
dc.date.accessioned2026-07-07T12:11:48Z
dc.date.available2026-07-07T12:11:48Z
dc.descriptionBy using cocycle deformation, we construct a certain class of Hopf algebras, containing the quantized enveloping algebras and their analogues, from what we call pre-Nichols algebras. Our construction generalizes in some sense the known construction by (generalized) quantum doubles, but unlike in the known situation, it saves us from difficulties in checking complicated defining relations.
dc.descriptionTo appear in a theme issue of the Arabian Journal for Science and Engineering. The published version will renumber the sections so that for example, Theorem 3.10 in this version will be called Theorem 4.10
dc.identifierhttps://arxiv.org/abs/0804.2517
dc.identifierhttp://arxiv.org/abs/0804.2517
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210337
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30, 17B37
dc.titleConstruction of quantized enveloping algebras by cocycle deformation
dc.typetext

Files

Collections

arXiv