Conditions for a Module to be Injective and some Applications to Hopf Algebra Duality

DOI10.2307/2160787zbMath0831.16024OpenAlexW4250756662MaRDI QIDQ4327641

Ian M. Musson

Publication date: 10 April 1995

Full work available at URL: https://doi.org/10.2307/2160787

zbMATH Keywords

Hopf algebrasquantum groupsmodule algebrasfinite-dimensional simple modulesHopf dualspolynormal augmentation ideals

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Injective modules, self-injective associative rings (16D50)

Cites Work

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• On the structure of certain injective modules over group algebras of soluble groups of finite rank
• Locally finite representations
• Primitive ideals of \(\mathbb{C}_ q[SL(n)\)]
• Representations of quantum algebras
• Explicit descriptions of injective envelopes: generalizations of a result of northcott
• Hopf algebra duality, injective modules and quantum groups
• Generalized double crossproducts associated with the quantized enveloping algebras
• Infective Envelopes and Inverse Polynomials

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