Locally finite representations of algebras∗

DOI10.1080/00927879608825832zbMath0895.16016OpenAlexW1979141093MaRDI QIDQ4369944

José Gómez-Torrecillas, Pascual Jara, Luis M. Merino

Publication date: 13 July 1998

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

Full work available at URL: https://doi.org/10.1080/00927879608825832

zbMATH Keywords

universal enveloping algebrassolvable Lie algebrasquantum groupssimple modulesAuslander-Gorenstein algebrasNoetherian algebrasinjective dimensionsCohen-Macaulay algebraslocally finite algebrasGelfand-Kirillov dimensionsfilters of cofinite ideals

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Injective modules, self-injective associative rings (16D50) Conditions on elements (16U99) Solvable, nilpotent (super)algebras (17B30) Homological dimension in associative algebras (16E10) Universal enveloping algebras of Lie algebras (16S30) Localization and associative Noetherian rings (16P50)

Related Items (6)

SUR LES ALGÈBRES D'HEISENBERG QUANTIQUES ⋮ LOCALLY DYNKIN QUIVERS AND HEREDITARY COALGEBRAS WHOSE LEFT COMODULES ARE DIRECT SUMS OF FINITE DIMENSIONAL COMODULES ⋮ On a class of iterated Ore extensions. ⋮ \(\mathcal U_q(\operatorname{sl}(2))\) satisfies a Bernstein duality ⋮ An example of Bernstein duality ⋮ Graded almost Noetherian rings and applications to coalgebras

Cites Work

• Coreflexive coalgebras
• Sur la résolution injective minimale de l'algèbre enveloppante d'une algèbre de Lie résoluble. (On the minimal injective resolution of the enveloping algebra of a solvable Lie algebra)
• Homological coalgebra
• The quantum coordinate ring of the special linear group
• Some properties of non-commutative regular graded rings
• On rings with finite self-injective dimension
• Prime Factor Algebras of the Coordinate Ring of Quantum Matrices
• Hopf algebra duality, injective modules and quantum groups

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