QUANTUM GROUPS, q-BOSON ALGEBRAS AND QUANTIZED WEYL ALGEBRAS

DOI10.1142/S0129167X11006970zbMath1238.16029arXiv1004.0171OpenAlexW2963146522MaRDI QIDQ3009327

Xin Fang

Publication date: 24 June 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0171

zbMATH Keywords

quantum groupscategories of modulesHopf modulesYetter-Drinfeld modulesquantized enveloping algebrasquantized Weyl algebrassimple objectsextremal projectors\(q\)-boson algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Ordinary and skew polynomial rings and semigroup rings (16S36) Ring-theoretic aspects of quantum groups (16T20)

Related Items (4)

Extremal projectors of two-parameter Kashiwara algebras ⋮ On defining ideals and differential algebras of Nichols algebras. ⋮ Non-symmetrizable quantum groups: defining ideals and specialization ⋮ Schrödinger representations from the viewpoint of tensor categories.

Cites Work

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• The structure of Hopf algebras with a projection
• An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• On the Drinfeld double and the Heisenberg double of a Hopf algebra
• Quantum \(R\)-matrix and intertwiners for the Kashiwara algebra
• Extremal projectors of \(q\)-boson algebras
• Prime ideals in Hopf Galois extensions
• KILLING FORMS, HARISH-CHANDRA ISOMORPHISMS, AND UNIVERSAL R-MATRICES FOR QUANTUM ALGEBRAS
• Multiplication alteration by two-cocycles - the quantum version
• Hopf bimodules over hopf-galois extensions, miyashita-ulbrich actions, and monoidal center constructions

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