On Quantum Spaces of Lie Algebras

DOI10.2307/2159921zbMath0795.16022OpenAlexW2013601212MaRDI QIDQ3142834

Lieven Le Bruyn, Michel Van den Bergh

Publication date: 8 September 1994

Full work available at URL: https://doi.org/10.2307/2159921

zbMATH Keywords

homogenizationenveloping algebrainduced representationsfinite dimensional Lie algebraArtin-Schelter regular algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Universal enveloping algebras of Lie algebras (16S30)

Related Items (12)

Central extensions of three dimensional Artin-Schelter regular algebras ⋮ On the center of the enveloping algebra of a classical simple Lie superalgebra ⋮ Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\) ⋮ Generalized down-up algebras revisited from a viewpoint of Gröbner basis theory ⋮ Elliptic R-matrices and Feigin and Odesskii's elliptic algebras ⋮ Quasi-Lie structure of \(\sigma \)-derivations of \(\mathbb C[t^{\pm 1}\)] ⋮ A∞-modules and Calogero-Moser spaces ⋮ Subspaces of non-commutative spaces ⋮ The Beilinson equivalence for differential operators ⋮ Integral non-commutative spaces. ⋮ Associating geometry to the Lie superalgebra 𝔰𝔩(1|1) and to the color Lie algebra 𝔰𝔩^{𝔠}₂(\Bbbk) ⋮ Braided Lie algebras and bicovariant differential calculi over co-quasitriangular Hopf algebras

Cites Work

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• Characteristic varieties and vanishing cycles
• Graded algebras of global dimension 3
• zariskian filtrations
• Some properties of non-commutative regular graded rings
• Homogenized sl(2)
• A New Algebraic Approach to Microlocalization of Filtered Rings

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