Relative PBW type theorems for symmetrically braided Hopf algebras

2010/04/28 by Ion, Bogdan
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1004.5022

Abstract

We show that in characteristic zero all irreducible symmetrically braided Hopf algebras are of PBW type. Consequently, we obtain conditions for a braided Hopf algebra to be of PBW type as module over a braided Hopf subalgebra containing the coradical.

Related

• PBW bases for a class of braided Hopf algebras
• A Poincare-Birkhoff-Witt theorem for Hopf algebras with central Hopf algebra coradical
• Coideal subalgebras of pointed and connected Hopf algebras
• Triangular braidings and pointed Hopf algebras
• The doubles of a braided Hopf algebra