287 citations · 1.4k across the 60 of their papers we have counts for
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math.QA2014★ 28 cited
A classification of Nichols algebras of semi-simple Yetter-Drinfeld modules over non-abelian groups
I. Heckenberger, L. Vendramin
Over fields of arbitrary characteristic we classify all braid-indecomposable tuples of at least two absolutely simple Yetter-Drinfeld modules over non-abelian groups such that the…
math.GT2014★ 20 cited
Quandle coloring and cocycle invariants of composite knots and abelian extensions
W. Edwin Clark, M. Saito, L. Vendramin
Quandle colorings and cocycle invariants are studied for composite knots, and applied to chirality and abelian extensions. The square and granny knots, for example, can be distingu…
math.GT2014★ 19 cited
Doubly transitive groups and cyclic quandles
Leandro Vendramin
We prove that for n>2 there exists a quandle of cyclic type of size n if and only if n is a power of a prime number. This establishes a conjecture of S. Kamada, H. Tamaru and K. Wa…