The 2-Dimensional Quantum Euclidean Algebra

Abstract

The algebra dual to Woronowicz's deformation of the 2-\-di\-men\-sion\-al Euclidean group is constructed. The same algebra is obtained from $S{U}_q(2)$ via contraction on both the group and algebra levels.

8 pages, LBL-31711 and UCB-PTH-92/05

Cited by in corpus (15)

• Bicovariant Quantum Algebras and Quantum Lie Algebras
• Quantum Field Theory on the Noncommutative Plane with $E_q(2)$ Symmetry
• Free q-Schrodinger Equation from Homogeneous Spaces of the 2-dim Euclidean Quantum Group
• Noncommutative Geometry for Pedestrians
• The Geometry of a $q$-Deformed Phase Space
• Q-Deformed Path Integral
• Exponential mapping for non semisimple quantum groups
• Quantum E(2) groups and Lie bialgebra structures
• The quantum 2-dimensional Poincare group from quantum group contraction
• Contracted and expanded integrable structures
• The quantum Poincare group from quantum group contraction
• Gauge Field Theory on the E_q(2)-covariant Plane
• Cayley--Klein Contractions of Quantum Orthogonal Groups in Cartesian Basis
• Quantum Groups, Non-Commutative Differential Geometry and Applications
• Kappa-contraction from $S{U}_q(2)$ to $E_{\kappa }(2)$