Deformed commutators on quantum group module-algebras
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0209401,
title = {Deformed commutators on quantum group module-algebras},
author = {A. O. Garcia},
journal= {arXiv preprint arXiv:math/0209401},
year = {2007}
}
Comments
LaTeX 2e (uses AMS styles), 10 pages, no figures