Implications of the Hopf algebra properties of noncommutative differential calculi
q-alg
2009-10-30 v1 Quantum Algebra
Abstract
We define a noncommutative algebra of four basic objects within a differential calculus on quantum groups: functions, 1-forms, Lie derivatives and inner derivations, as the cross-product algebra associated with Woronowicz's (differential) algebra of functions and forms. This definition properly takes into account the Hopf algebra structure of the Woronowicz calculus. It also provides a direct proof of the Cartan identity.
Keywords
Cite
@article{arxiv.q-alg/9609005,
title = {Implications of the Hopf algebra properties of noncommutative differential calculi},
author = {A. A. Vladimirov},
journal= {arXiv preprint arXiv:q-alg/9609005},
year = {2009}
}
Comments
4 pages, LaTeX 2.09, no figures, contributed to the Proceedings of the 5th Colloquium on "Quantum Groups and Integrable Systems", Prague, June 1996 (to appear in Czech.J.Phys)