12 citations · 22 across the 10 of their papers we have counts for
12 papers · 1 filter
Automorphism groups of Weyl algebras
No-Ho Myung, Sei-Qwon Oh
Kanel-Belov and Kontsevich's conjecture in \cite[Conjecture 1]{BeKo} is proved: The automorphism group of the -th Weyl algebra is isomorphic to the Poisson automorphism group of…
A construction of an iterated Ore extension
No-Ho Myung, Sei-Qwon Oh
Let be a Poisson algebra with Poisson bracket such that for all , where and $p_{ji}\in\Bbb…
A note on the bijectivity of antipode of a Hopf algebra and its applications
Jiafeng Lv, Sei-Qwon Oh, Xingting Wang +1
Certain sufficient homological and ring-theoretical conditions are given for a Hopf algebra to have bijective antipode with applications to noetherian Hopf algebras regarding their…
Enveloping algebras of double Poisson-Ore extensions
Jiafeng Lü, Sei-Qwon Oh, Xingting Wang +1
It is proved that the Poisson enveloping algebra of a double Poisson-Ore extension is an iterated double Ore extension. As an application, properties that are preserved under itera…
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…