The two-dimensional Euclidean quantum algebra at roots of unity

DOI10.1007/BF00739373zbMath0843.17005MaRDI QIDQ1900443

Nicola Ciccoli, Riccardo Giachetti

Publication date: 31 October 1995

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

irreducible representationstwo-dimensional Euclidean quantum algebraPoisson-Hopf structure

Mathematics Subject Classification ID

Related Items (1)

Free \(q\)-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group

Cites Work

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• Quantum groups at roots of 1
• Irreducible representations of the quantum analogue of SU(2)
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Quantum \(E(2)\) group and its Pontryagin dual
• Fundamental representations of quantum groups at roots of 1
• Some remarkable degenerations of quantum groups
• Composition of kinetic momenta: The \({\mathcal U}_ q(sl(2))\) case
• Invariants of 3-manifolds via link polynomials and quantum groups
• An R-matrix approach to the quantization of the Euclidean group E(2)
• Three-dimensional quantum groups from contractions of SU(2)q

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