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math.CO2026
The -Poincaré sum and separability in a Coxeter group
Ben Adenbaum, Darij Grinberg
Given a finite Coxeter group and an element of a commutative ring , we define the element of its group…
math.CO2026
Invariance of rowmotion for variants of the Tamari lattice
Ben Adenbaum, Emily Barnard, Cesar Ceballos +6
We show that the rowmotion operator from dynamical algebraic combinatorics behaves the same on all alt -Tamari lattices for a fixed lattice path . We use this invariance of r…
math.CO2026
Enumerating Pattern Avoiding Parking Functions
Ben Adenbaum
In this paper, we complete the enumeration of the number of parking functions of length avoiding, in the sense defined by Qiu and Remmel, a permutation of length 3, answering s…