Deformed commutators on quantum group module-algebras

Details Deformed commutators on quantum group module-algebras Deformed commutators on quantum group module-algebras

2002-09-30

arxiv.org/abs/math/0209401v1

J. Alg. 275/1, 321-330 (2004)

Mathematics

Quantum Algebra

LaTeX 2e (uses AMS styles), 10 pages, no figures

Scientific paper

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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