Refinement of Ado's Theorem in Low Dimensions and Application in Affine Geometr

Simple item page
dc.creatorKang, Yi-Fang
dc.creatorBai, Cheng-Ming
dc.date2007-11-24
dc.date.accessioned2026-07-07T09:23:59Z
dc.date.available2026-07-07T09:23:59Z
dc.descriptionIn this paper, we construct a faithful representation with the lowest dimension for every complex Lie algebra in dimension $\leq 4$. In particular, in our construction, in the case that the faithful representation has the same dimension of the Lie algebra, it can induce an étale affine representation with base zero which has a natural and simple form and gives a compatible left-symmetric algebra on the Lie algebra. Such affine representations do not contain any nontrivial one-parameter subgroups of translation.
dc.description11 pages, 4 tables, appear in Communications in Algebra
dc.identifierhttps://arxiv.org/abs/0711.3836
dc.identifierhttp://arxiv.org/abs/0711.3836
dc.identifierCommunications in Algebra 36 (2008) 82-93
dc.identifierdoi:10.1080/00927870701649382
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155936
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject17B, 53C
dc.titleRefinement of Ado's Theorem in Low Dimensions and Application in Affine Geometr
dc.typetext

Files

Collections

arXiv