Simple Finite Jordan Pseudoalgebras

dc.creatorKolesnikov, Pavel
dc.date2002-10-17
dc.date2009-01-30
dc.date.accessioned2026-07-07T12:35:44Z
dc.date.available2026-07-07T12:35:44Z
dc.descriptionWe consider the structure of Jordan $H$-pseudoalgebras which are linearly finitely generated over a Hopf algebra $H$. There are two cases under consideration: $H=U(\mathfrak h)$ and $H=U(\mathfrak h)# \mathbb C[Γ]$, where $\mathfrak h$ is a finite-dimensional Lie algebra over $\mathbb C$, $Γ$ is an arbitrary group acting on $U(\mathfrak h)$ by automorphisms. We construct an analogue of the Tits-Kantor-Koecher construction for finite Jordan pseudoalgebras and describe all simple ones.
dc.identifierhttps://arxiv.org/abs/math/0210264
dc.identifierhttp://arxiv.org/abs/math/0210264
dc.identifierSIGMA 5 (2009), 014, 17 pages
dc.identifierdoi:10.3842/SIGMA.2009.014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217860
dc.subjectQuantum Algebra
dc.titleSimple Finite Jordan Pseudoalgebras
dc.typetext

Files

Collections