More properties of Yetter-Drinfeld modules over quasi-Hopf algebras
Quantum Algebra
2007-05-23 v1
Abstract
We generalize various properties of Yetter-Drinfeld modules over Hopf algebras to quasi-Hopf algebras. The dual of a finite dimensional Yetter-Drinfeld module is again a Yetter-Drinfeld module. The algebra in the category of Yetter-Drinfeld modules that can be obtained by modifying the multiplication in a proper way is quantum commutative. We give a Structure Theorem for Hopf modules in the category of Yetter-Drinfeld modules, and deduce the existence and uniqueness of integrals from it.
Cite
@article{arxiv.math/0311381,
title = {More properties of Yetter-Drinfeld modules over quasi-Hopf algebras},
author = {D. Bulacu and S. Caenepeel and F. Panaite},
journal= {arXiv preprint arXiv:math/0311381},
year = {2007}
}
Comments
22 pages