PBW bases for a class of braided Hopf algebras

Details PBW bases for a class of braided Hopf algebras PBW bases for a class of braided Hopf algebras

2003-11-27

arxiv.org/abs/math/0311504v1

Mathematics

Quantum Algebra

36 pages, uses ams latex

Scientific paper

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.

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