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The nonstandard quantum plane

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Publication:958488
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DOI10.1016/j.apal.2008.06.009zbMath1158.03021OpenAlexW2049762135MaRDI QIDQ958488

Ivo Herzog, Sonia L'Innocente

Publication date: 5 December 2008

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2008.06.009

zbMATH Keywords

Quantum groupZiegler spectrumpp-definable supspacePseudo-finite-dimensional representationQuantum planeRing of definable sclars


Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Model-theoretic algebra (03C60) Quantum groups (quantized function algebras) and their representations (20G42)


Related Items

Exponentiations over the universal enveloping algebra of \(\text{sl}_2(\mathbb C)\), The universal abelian regular ring, Exponentiations over the quantum algebra \(U_q(\mathrm{sl}_2(\mathbb{C}))\)



Cites Work

  • Lectures on algebraic quantum groups
  • RINGS OF DEFINABLE SCALARS OF VERMA MODULES
  • Four concepts from “geometrical” stability theory in modules
  • Pseudo-finite dimensional representations of \(\text{sl}(2,k)\).
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