Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Sei-Qwon Oh"'
Publikováno v:
Communications in Algebra. 50:3156-3163
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d531dff81890d406c6646f04403b32c1
https://doi.org/10.1080/00927872.2022.2027429
https://doi.org/10.1080/00927872.2022.2027429
Autor:
Hanna Sim, Sei-Qwon Oh
Publikováno v:
Archiv der Mathematik. 118:133-142
Let A be a Poisson algebra over a field $$\mathbf{k}$$ with characteristic zero, let $$\gamma $$ , $$\alpha $$ be Poisson derivations on A such that $$\gamma \alpha =\alpha \gamma $$ and $$0\ne \rho \in \mathbf{k}$$ . Here the notion of a $$\gamma $$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c53d946a174f3000beb2b4cad3be52d
https://doi.org/10.1007/s00013-021-01673-2
https://doi.org/10.1007/s00013-021-01673-2
Publikováno v:
Communications in Algebra. 49:5462-5471
Let R be an affine Poisson algebra over a field of characteristic zero and let A be a Poisson order over R. It is proved that every Poisson primitive ideal of A is annihilator of a simple Poisson A-module.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd84f1023a3d18d711e3e749c9b2e05a
https://doi.org/10.1080/00927872.2021.1946553
https://doi.org/10.1080/00927872.2021.1946553
Publikováno v:
Proceedings of the American Mathematical Society. 146:4619-4631
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5cefeaedbdf63613aa7f135590b2642
https://doi.org/10.1090/proc/14140
https://doi.org/10.1090/proc/14140
Publikováno v:
Communications in Algebra. 46:4891-4904
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 iterated double Ore extensions are invariants of the Poisson enveloping alg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dddd757254a86de120906330a4fed943
https://doi.org/10.1080/00927872.2018.1459643
https://doi.org/10.1080/00927872.2018.1459643
Autor:
Sei-Qwon Oh
Publikováno v:
Communications in Algebra. 45:5088-5091
Let $\widehat{\Gamma}$ be the natural map given in \cite[\S1]{Oh12}. Here, we construct a deformation $B_q$ of a Poisson algebra $B_1$ and a prime ideal $P$ of $B_q$ such that $\widehat{\Gamma}(P)$ is not a Poisson prime ideal of $B_1$.
Comment:
Comment:
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73508a73db1bc77be23958681c0a9f7b
https://doi.org/10.1080/00927872.2017.1292359
https://doi.org/10.1080/00927872.2017.1292359
Autor:
Sei-Qwon Oh
Publikováno v:
Communications in Algebra. 45:60-75
A natural map from a quantized space onto its semiclassical limit is obtained. As an application, we see that an induced map by the natural map is a homeomorphism from the spectrum of the multi-parameter quantized Weyl algebra onto the Poisson spectr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fb3585360453fb1b23eb11e09c938c9
https://doi.org/10.1080/00927872.2016.1175448
https://doi.org/10.1080/00927872.2016.1175448
Autor:
Sei-Qwon Oh
Publikováno v:
Communications in Algebra. 45:76-104
A Poisson algebra ℂ[G] considered as a Poisson version of the twisted quantized coordinate ring ℂq,p[G], constructed by Hodges et al. [11], is obtained and its Poisson structure is investigated. Th...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::766b156ea0b0487e7ac1850fb9dc0ac9
https://doi.org/10.1080/00927872.2016.1175451
https://doi.org/10.1080/00927872.2016.1175451
Autor:
Eun-Hee Cho, Sei-Qwon Oh
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 58:227-234
Let \(\mathfrak {g}\) be the finite dimensional simple Lie algebra associated to an indecomposable and symmetrizable generalized Cartan matrix \(C=(a_{ij})_{n\times n}\) of finite type and let \(\mathfrak {d}\) be a finite dimensional Lie algebra rel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb38ca75bcb6241f0646dfbc873bb472
https://doi.org/10.1007/s13366-016-0300-z
https://doi.org/10.1007/s13366-016-0300-z
Autor:
Hanna Sim, Sei-Qwon Oh
Publikováno v:
Journal of the Chungcheong Mathematical Society. 28:307-310
【Let H be a color Poisson bialgebra. Here we find a canonical nondegenerate bilinear form $\mathfrak{g}(H){\times}\mathfrak{m/m^2}$ , where $\mathfrak{g}(H)$ and $\mathfrak{m/m^2}$ are certain color Lie algebras induced by H.】
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca2bde3266b5856bb1d1573d072a6c44
https://doi.org/10.14403/jcms.2015.28.2.307
https://doi.org/10.14403/jcms.2015.28.2.307