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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.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…