Deformed commutators on quantum group module-algebras
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algebracommutatorsgeneralizedhopfmodule-algebrasquantumadditionallyalgebras
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We construct quantum commutators on module-algebras of quasi-triangular Hopf algebras. These are quantum-group covariant, and have generalized antisymmetry and Leibniz properties. If the Hopf algebra is triangular they additionally satisfy a generalized Jacobi identity, turning the module-algebra into a quantum-Lie algebra.
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