Representations of quantum groups defined over commutative rings

DOI10.1080/00927879508825342zbMath0827.17014OpenAlexW2963300209MaRDI QIDQ4834907

Thomas J. Enright, Ben L. Cox

Publication date: 13 June 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825342

zbMATH Keywords

quantum groupshighest weight modulesinvariant bilinear formsinduced invariant form

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (2)

Localization of free field realizations of affine Lie algebras ⋮ Representations of quantum groups defined over commutative rings. II

Cites Work

• Unnamed Item
• Quantum groups at roots of 1
• Skew derivations and \(U_ q(sl(2))\)
• On the fundamental series of a real semisimple Lie algebra: their irreducibility, resolutions and multiplicity formulae
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• On a construction of representations and a problem of Enright
• Moduln mit einem höchsten Gewicht
• Structure of some categories of representations of infinite-dimensional Lie algebras
• Local finiteness of the adjoint action for quantized enveloping algebras
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
• Representations of Lie algebras defined over commutative rings. I
• Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34
• Separation of Variables for Quantized Enveloping Algebras
• Generalizations of Deodhar's α-Localization Functor

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