Talk:PlanetPhysics/Quantum Symmetry Test

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\section{Quantum Symmetry} Often \htmladdnormallink{quantum symmetry}{http://planetphysics.us/encyclopedia/HilbertBundle.html} is understood in terms of properties of \htmladdnormallink{symmetry groups}{http://planetphysics.us/encyclopedia/TopologicalOrder2.html}, their \htmladdnormallink{representations}{http://planetphysics.us/encyclopedia/CategoricalGroupRepresentation.html} and related algebras. \htmladdnormallink{Quantum groups}{http://planetphysics.us/encyclopedia/QuantumGroup4.html} also possess quantum symmetries which are distinct from those exhibited by classical \htmladdnormallink{Lie groups}{http://planetphysics.us/encyclopedia/BilinearMap.html}, \htmladdnormallink{groups}{http://planetphysics.us/encyclopedia/TrivialGroupoid.html} of rotations and Poisson or \htmladdnormallink{Lorentz transformation}{http://planetphysics.us/encyclopedia/CosmologicalConstant.html} groups. \htmladdnormallink{Extended quantum symmetries}{http://planetphysics.us/encyclopedia/TopologicalOrder2.html} are also encountered for \htmladdnormallink{quantum groupoids}{http://planetphysics.us/encyclopedia/WeakHopfAlgebra.html}, \htmladdnormallink{quantum categories}{http://planetphysics.us/encyclopedia/QuantumCategories.html}, \htmladdnormallink{Hamilton algebroids}{http://planetphysics.us/encyclopedia/TopologicalOrder2.html}, graded Lie super-algebras, \htmladdnormallink{Lie algebroids}{http://planetphysics.us/encyclopedia/LieAlgebroids.html} and quantum \htmladdnormallink{systems}{http://planetphysics.us/encyclopedia/SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence.html} with \htmladdnormallink{topological order}{http://planetphysics.us/encyclopedia/LongRangeCoupling.html}.

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