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Deformed commutators on quantum group module-algebras

A. O. Garcia
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Abstract

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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A. O. Garcia. 2002-09-30. Deformed commutators on quantum group module-algebras. https://arxiv.org/abs/math/0209401

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