Talk:PlanetPhysics/Quantum Symmetry 2

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\section{Quantum Symmetry} Often quantum symmetry is understood in terms of properties of symmetry groups, 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 Lie groups, \htmladdnormallink{groups}{http://planetphysics.us/encyclopedia/TrivialGroupoid.html} of rotations and Poisson or \htmladdnormallink{Lorentz transformation}{http://planetphysics.us/encyclopedia/CosmologicalConstant.html} groups. Extended quantum symmetries are also encountered for \htmladdnormallink{quantum groupoids}{http://planetphysics.us/encyclopedia/WeakHopfAlgebra.html}, quantum categories, Hamilton algebroids, graded Lie super-algebras, \htmladdnormallink{Lie algebroids}{http://planetphysics.us/encyclopedia/LieAlgebroids.html} and quantum \htmladdnormallink{systems}{http://planetphysics.us/encyclopedia/SimilarityAndAnalogousSystemsDynamicAdjointnessAndTopologicalEquivalence.html} with topological order.

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