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quantum symmetry (Definition)

Quantum Symmetry

Often quantum symmetry is understood in terms of properties of symmetry groups, their representations and related algebras. Quantum groups also possess quantum symmetries which are distinct from those exhibited by classical Lie groups, groups of rotations and Poisson or Lorentz transformation groups. Extended quantum symmetries are also encountered for quantum groupoids, quantum categories, Hamilton algebroids, graded Lie super-algebras, Lie algebroids and quantum systems with topological order.



"quantum symmetry" is owned by bci1.

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See Also: quantum symmetries from group and groupoid representations, quantum groups and von Neumann algebras, Quantum topological order and extended quantum symmetries

Also defines:  quantum categories, Poisson transformation, Lie group, Lie Algebra, Hamilton algebroid, graded Lie superalgebra, extended quantum symmetry, topological order, symmetry group

Cross-references: systems, Lie algebroids, quantum groupoids, Lorentz transformation, groups, quantum groups, representations
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This is version 3 of quantum symmetry, born on 2011-01-15, modified 2011-01-15.
Object id is 900, canonical name is QuantumSymmetry2.
Accessed 637 times total.

Classification:
Physics Classification00. (GENERAL)

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