Séminaire Lotharingien de Combinatoire, 89B.73 (2023), 12 pp.
Daoji Huang and Jessica Striker
A Pipe Dream Perspective on Totally Symmetric Self-Complementary Plane Partitions
Abstract.
We characterize totally symmetric self-complementary plane partitions (TSSCPP) as bounded compatible sequences satisfying a Yamanouchi-like condition. As such, they are in bijection with certain pipe dreams.
Using this characterization and
the recent bijection of [Gao-Huang] between reduced pipe dreams and reduced bumpless pipe dreams, we give a bijection between alternating sign matrices and TSSCPP in the reduced, 1432-avoiding case.
Received: November 15, 2022.
Accepted: February 20, 2023.
Final version: April 1, 2023.
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