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math.QA2014★ 4 cited
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…
math.QA2014★ 1 cited
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…