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DOUBLE LOOP QUANTUM ENVELOPING ALGEBRAS

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Publication:2853967
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DOI10.1142/S021949881350031XzbMath1327.17015arXiv1303.0498OpenAlexW2963577509MaRDI QIDQ2853967

Zhi Xiang Wu

Publication date: 17 October 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0498

zbMATH Keywords

Gelfand-Kirillov dimensionBGG categoryquantum enveloping algebrafinite-dimensional representationTdeg-stable


Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20)


Related Items

On category \(\mathcal O\) over triangular generalized Weyl algebras., Equitable presentations for multiparameter quantum groups



Cites Work

  • Unnamed Item
  • Positive quasi-periodic solutions to Lotka-Volterra system
  • Category \(\mathcal O\) over a deformation of the symplectic oscillator algebra.
  • The quantum algebra \(U_q(\mathfrak{sl}_2)\) and its equitable presentation
  • On the ubiquity of Gorenstein rings
  • EXTENDED QUANTUM ENVELOPING ALGEBRAS OF (2)
  • Functoriality of the BGG Category 𝒪††
  • On Gelfand-Kirillov Transcendence Degree
  • Center and Representations of Infinitesimal Hecke Algebras of 𝔰𝔩2
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