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PBW bases for a class of braided Hopf algebras

Stefan Ufer
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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.

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Stefan Ufer. 2003-11-27. PBW bases for a class of braided Hopf algebras. https://arxiv.org/abs/math/0311504

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