Deformed commutators on quantum group module-algebras

2002/09/30 by A. O. Garcia
Mathematics · Physics and Astronomy · #math.QA #math-ph #math.MP #msc:16W30 #msc:16W10 #msc:17D99

paper · pdf

published as J. Alg. 275/1, 321-330 (2004) · LaTeX 2e (uses AMS styles), 10 pages, no figures

arxiv created 2002/09/30 · arxiv updated 2009/11/30

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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