12 citations · 22 across the 10 of their papers we have counts for
4 papers · 2 filters
A natural map from a quantized space onto its semiclassical limit
Sei-Qwon Oh
Let be the natural map given in \cite[\S1]{Oh12}. Here, we construct a deformation of a Poisson algebra and a prime ideal of such that $\widehatΓ(…
Double Poisson extensions
Qi Lou, Sei-Qwon Oh, S. -Q. Wang
A double Ore extension was introduced by James Zhang and Jun Zhang [26] to study a class of Artin-Schelter regular algebras. Here we give a definition of Poisson double extension w…
Symmetric bilinear form on a Lie algebra
Eun-Hee Cho, Sei-Qwon Oh
Let be the finite dimensional simple Lie algebra associated to an indecomposable and symmetrizable generalized Cartan matrix of finite type and l…
Semiclassical limits of Ore extensions and a Poisson generalized Weyl algebra
Eun-Hee Cho, Sei-Qwon Oh
We observe \cite[Proposition 4.1]{LaLe} that Poisson polynomial extensions appear as semiclassical limits of a class of Ore extensions. As an application, a Poisson generalized Wey…