Zobrazeno 1 - 10
of 333
pro vyhledávání: '"Launois, S."'
Autor:
Launois, S., Oppong, I.
In previous paper, we studied deformations $A_{\alpha,\beta}$ of the second Weyl algebra and computed their derivations. In the present paper, we identify the semiclassical limits $\mathcal{A}_{\alpha,\beta}$ of these deformations and compute their P
Externí odkaz:
http://arxiv.org/abs/2306.07800
Autor:
Launois, S, Oppong, I
In view of a well-known theorem of Dixmier, its is natural to consider primitive quotients of $U_q^+(\mathfrak{g})$ as quantum analogues of Weyl algebras. In this work, we study these primitive quotients in the $G_2$ case and compute their Lie algebr
Externí odkaz:
http://arxiv.org/abs/2204.12214
Autor:
Goodearl, K. R., Launois, S.
We prove that for the iterated Poisson polynomial rings known as Poisson nilpotent algebras (or Poisson-CGL extensions), the Poisson prime spectrum is catenary, i.e., all saturated chains of inclusions of Poisson prime ideals between any two given Po
Externí odkaz:
http://arxiv.org/abs/2105.13737
Autor:
Launois, S., Oppong, I.
Publikováno v:
In Journal of Geometry and Physics February 2024 196
Autor:
Goodearl, K. R., Launois, S.
In this paper, it is established that quantum nilpotent algebras (also known as CGL extensions) are catenary, i.e., all saturated chains of inclusions of prime ideals between any two given prime ideals $P \subsetneq Q$ have the same length. This is a
Externí odkaz:
http://arxiv.org/abs/2008.01423
Autor:
Launois, S., Oppong, I.
Publikováno v:
In Bulletin des sciences mathématiques May 2023 184
Tauvel's height formula, which provides a link between the height of a prime ideal and the Gelfand-Kirillov dimension of the corresponding factor algebra, is verified for quantum nilpotent algebras.
Externí odkaz:
http://arxiv.org/abs/1805.06590
Autor:
Goodearl, K.R., Launois, S.
Publikováno v:
In Journal of Algebra 1 December 2022 611:265-284
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.