\(\mathcal U_q(\operatorname{sl}(2))\) satisfies a Bernstein duality

DOI10.1006/jsco.2001.0490zbMath1017.17014OpenAlexW2008671907MaRDI QIDQ5960300

Jorge Jódar, Pascual Jara

Publication date: 15 April 2002

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2001.0490

zbMATH Keywords

Gröbner basisquantum groupenveloping algebramodule categoryfinite-dimensional irreducible representations

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35)

Cites Work

• 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)
• An example of Bernstein duality
• Zariskian filtrations
• The quantum coordinate ring of the special linear group
• Prime ideals in finite extensions of Noetherian rings
• Locally finite representations of algebras^∗
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