2014/01/31 by William Chin, Chin, William, Esther Beneish +1
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA) #math.QA #math.RA
paper · pdf · doi:10.48550/arxiv.1401.8061
to appear in J. of Algebra
arxiv created 2014/08/02 · arxiv updated 2014/08/05
We introduce the concept of a covering of a graded pointed Hopf algebra. The theory developed shows that coverings of a bosonized Nichols algebra can be concretely expressed by biproducts using a quotient of the universal coalgebra covering group of the Nichols algebra. If there are enough quadratic relations, the universal coalgebra covering is given by the bosonization by the enveloping group of the underlying rack.