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math.CO2018★ 12 cited
Hopf dreams and diagonal harmonics
Nantel Bergeron, Cesar Ceballos, Vincent Pilaud
This paper introduces a Hopf algebra structure on a family of reduced pipe dreams. We show that this Hopf algebra is free and cofree, and construct a surjection onto a commutative…
math.CO2018
Signature Catalan Combinatorics
Cesar Ceballos, Rafael S. González D'León
The Catalan numbers constitute one of the most important sequences in combinatorics. Catalan objects have been generalized in various directions, including the classical Fuss-Catal…