4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.CO2019
Hopf monoids, permutohedral cones, and generalized retarded functions
William Norledge, Adrian Ocneanu
The commutative Hopf monoid of set compositions is a fundamental Hopf monoid internal to vector species, having undecorated bosonic Fock space the combinatorial Hopf algebra of qua…
math.RT2015
On 3 and 4 dimensional regular solids, Part 1: The 4-simplex generates the free group
Adrian Ocneanu
The 4-simplex has vertices 5 unit quaternions, which we arrange so that one of them is the unit. We show that the remaining 4 vertices are the generators of a free group. For the p…
math.CO2013★ 4 cited
On the inner structure of a permutation: Bicolored Partitions and Eulerians, Trees and Primitives
Adrian Ocneanu
We present a bijective algorithm with which an arbitrary permutation decomposes canonically into elementary blocks which we call families, which are sets with a specified number of…