Weyl algebras over quantum groups

DOI10.1007/BF02557308zbMath0960.16047MaRDI QIDQ1568002

D. P. Zhelobenko

Publication date: 5 March 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Weyl algebrascomodulescomplete reducibilitydifferential algebrasDrinfeld quantum doublesdual pairs of Hopf algebras

Mathematics Subject Classification ID

Rings of differential operators (associative algebraic aspects) (16S32)

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Universal Verma modules and \(W\)-resolvents over Kac-Moody algebras

Cites Work

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• Quantum deformation of Lorentz group
• Quantum \(R\)-matrix and intertwiners for the Kashiwara algebra
• Differential calculus on compact matrix pseudogroups (quantum groups)
• On quantum methods in the representation theory of reductive Lie algebras
• Crystalizing the q-analogue of universal enveloping algebras
• Various doublings of Hopf algebras. Operator algebras on quantum groups, complex cobordisms