Centers of down-up algebras

DOI10.1006/jabr.1998.7695zbMath0932.17007OpenAlexW2005887412MaRDI QIDQ1283264

Kaiming Zhao

Publication date: 12 March 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7695

zbMATH Keywords

centersdown-up algebrashomogenizationsdifferential posets

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Structure theory for Lie algebras and superalgebras (17B05)

Related Items

Primitive Ideals of Noetherian Down-Up Algebras, CENTERS OF DOWN-UP ALGEBRAS OVER FIELDS OF PRIME CHARACTERISTIC, Plane curves which are quantum homogeneous spaces, PBW-deformations of quantum groups, Auslander theorem for PI Artin-Schelter regular algebras, On category \(\mathcal O\) over triangular generalized Weyl algebras., Irreducible finite-dimensional modules of prime characteristic down-up algebras., Stable rank of down-up algebras, Isomorphisms of non-Noetherian down-up algebras, Calabi–Yau properties of nontrivial Noetherian DG down-up algebras, Hochschild homology and cohomology of down-up algebras, Universal Associative Envelopes of Nonassociative Triple Systems, INJECTIVE MODULES OVER DOWN-UP ALGEBRAS, PRIMITIVE IDEALS OF NON-NOETHERIAN DOWN-UP ALGEBRAS, Down–up algebras over a polynomial base ring 𝕂[t₁,…,t_n], Down-up algebras and their representations., Generalized Laurent polynomial rings as quantum projective 3-spaces., Hopf down-up algebras., Down-up algebras, MONOLITHIC MODULES OVER NOETHERIAN RINGS, Down-up algebras and their representation theory, Hochschild cohomology related to graded down-up algebras with weights (1,n), Primitivity of Noetherian Down-Up Algebras, Down-Up Algebras From Trees, Projective resolutions of associative algebras and ambiguities., EXAMPLES OF FCR-ALGEBRAS

Cites Work

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• Primitive ideals in enveloping algebras
• Down-up algebras
• Differential Posets
• Two remarks on witten'squantum enveloping algebra