The prime and primitive spectra of multiparameter quantum symplectic and Euclidean spaces

KL Horton - Communications in Algebra, 2003 - Taylor & Francis
We investigate a class of algebras that provides multiparameter versions of both quantum
symplectic space and quantum Euclidean 2 n-space. These algebras encompass the …

Skew PBW Extensions

W Fajardo, C Gallego, O Lezama, A Reyes… - Skew PBW Extensions …, 2020 - Springer
Skew PBW Extensions Page 1 Chapter 1 Skew PBW Extensions In this first chapter we
introduce the skew PBW extensions and we present some examples of this new class of rings …

Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces

SQ Oh - Journal of Algebra, 2008 - Elsevier
A class of Poisson algebras An, ΓP, Q considered as a Poisson version of the
multiparameter quantized coordinate rings Kn, ΓP, Q of symplectic and Euclidean 2n-spaces …

On the structure of semi-invariant polynomials in Ore extensions

CL Chuang, YT Tsai - Journal of Algebra, 2009 - Elsevier
Let D be an X-outer S-derivation of a prime ring R, where S is an automorphism of R. The
following is proved among other things: The degree of the minimal semi-invariant …

On prime and primitive ideals of the centrally extended Heisenberg double of SL2

WQ Tao - Journal of Algebra and Its Applications, 2023 - World Scientific
On prime and primitive ideals of the centrally extended Heisenberg double of SL2 Page 1
Journal of Algebra and Its Applications Vol. 22, No. 4 (2023) 2350096 (12 pages) © World …

Sur une classe d'extensions de Ore itérées

L El Kaoutit, J Gómez-Torrecillas - Bulletin des sciences mathematiques, 2004 - Elsevier
Résumé Dans ce travail, on démontre que les cliques d'idéaux premiers d'une classe
d'extensions de Ore itérées coı̈ncident avec leurs orbites par rapport à une opération d'un …

Dérivations de L'anneau des Coordonnées de L'espace Quantique Symplectique

LB Yakoub, A Louly - Communications in Algebra®, 2006 - Taylor & Francis
Full article: Dérivations de L'anneau des Coordonnées de L'espace Quantique
Symplectique Skip to Main Content Taylor and Francis Online homepage Taylor and …

The group of Poisson automorphisms of the Poisson symplectic space

SQ Oh, EH Cho - Bulletin of the Australian Mathematical Society, 2005 - cambridge.org
The group of Poisson automorphisms of the Poisson symplectic space Page 1 BULL. AUSTRAL.
MATH. SOC. 17B63, 16W20 VOL. 71 (2005) [505-516] THE GROUP OF POISSON …

[PDF][PDF] POISSON DERIVATIONS ACTING ON MULTI-PARAMETER SYMPLECTIC POISSON ALGEBRA

SQ Oh, H Lee - Journal of the Chungcheong Mathematical …, 2004 - jcmssubmit.ccms.or.kr
A class of algebras KP, Q n, Γ, constructed by Horton in [2], includes the multiparameter
quantized coordinate rings of symplectic and Euclidean 2n-spaces, the graded quantized …

[PDF][PDF] THE GROUP OF POISSON AUTOMORPHISMS OF THE COORDINATE RING OF POISSON SYMPLECTIC SPACE

SEIQ OH, E CHO - Citeseer
THE GROUP OF POISSON AUTOMORPHISMS OF THE COORDINATE RING OF POISSON
SYMPLECTIC SPACE Introduction In [6], Horton constructed a Page 1 THE GROUP OF …