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math.CO2021
Involutions under Bruhat order and labeled Motzkin Paths
Michael Coopman, Zachary Hamaker
In this note, we introduce a statistic on Motzkin paths that describes the rank generating function of Bruhat order for involutions. Our proof relies on a bijection introduced by P…
math.CO2021
Bijecting hidden symmetries for skew staircase shapes
Zachary Hamaker, Alejandro H. Morales, Igor Pak +2
We present a bijection between the set of standard Young tableaux of staircase minus rectangle shape, and the set of marked shifted standard Young tableaux of a certain shifted sha…