PBW bases for a class of braided Hopf algebras
Quantum Algebra
2007-05-23 v1 Rings and Algebras
Abstract
We prove the existence of a basis of Poincare-Birkhoff-Witt type for braided Hopf algebras R generated by a braided subspace V of P(R) if the braiding on V fulfils a triangularity condition. We apply our result to pointed Hopf algebras with abelian coradical and to Nichols algebras of low dimensional simple U_q(sl_2) modules.
Keywords
Cite
@article{arxiv.math/0311504,
title = {PBW bases for a class of braided Hopf algebras},
author = {Stefan Ufer},
journal= {arXiv preprint arXiv:math/0311504},
year = {2007}
}
Comments
36 pages, uses ams latex