4 citations · 7 across the 4 of their papers we have counts for
4 papers
Quantum affine algebras at small root of unity
Simon D. Lentner
We study the Frobenius-Lusztig kernel for quantum affine algebras at root of unity of small orders that are usually excluded in literature. These cases are somewhat degenerate and…
A theorem on roots of unity and a combinatorial principle
Simon Lentner, Daniel Nett
Given a finite set of roots of unity, we show that all power sums are non-negative integers iff the set forms a group under multiplication. The main argument is purely combinatoria…
New -matrices for small quantum groups
Simon Lentner, Daniel Nett
In this article we construct a large family of -matrices for various extensions of small quantum groups by grouplike elements. The extensions are in correspondence to lattices b…
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…