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math.QA2014
Factorization of Graded Traces on Nichols Algebras
Simon Lentner, Andreas Lochmann
We study the factorization of the Hilbert series and more general graded traces of a Nichols algebra into cyclotomic polynomials. Nichols algebras play the role of Borel subalgebra…
math.QA2012
Divisibility Relations for the Dimensions and Hilbert series of Nichols Algebras of Non-Abelian Group Type
Andreas Lochmann
We present a divisibility relation for the dimensions and Hilbert series of certain classes of Nichols algebras of non-abelian group type, which generalizes Nichols algebras over C…
math.QA2011★ 16 cited
Braided racks, Hurwitz actions and Nichols algebras with many cubic relations
I. Heckenberger, A. Lochmann, L. Vendramin
We classify Nichols algebras of irreducible Yetter-Drinfeld modules over groups such that the underlying rack is braided and the homogeneous component of degree three of the Nichol…