A Pipe Dream Perspective on Totally Symmetric Self-Complementary Plane Partitions

DOI10.1017/fms.2023.131arXiv2303.10463MaRDI QIDQ6148469

Jessica Striker, Daoji Huang

Publication date: 7 February 2024

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.10463

zbMATH Keywords

bumpless pipe dreamTSSCPP Boolean triangles

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial identities, bijective combinatorics (05A19)

Cites Work

• Unnamed Item
• A unifying poset perspective on alternating sign matrices, plane partitions, Catalan objects, tournaments, and tableaux
• Monotone triangles and 312 pattern avoidance
• A simple explicit bijection between \((n,2)\)-Gog and Magog trapezoids
• Alternating sign matrices and descending plane partitions
• Symmetries of plane partitions
• Some combinatorial properties of Schubert polynomials
• Plane partitions. V: The TSSCPP conjecture
• Permutation totally symmetric self-complementary plane partitions
• Proof of the alternating sign matrix conjecture
• Set-valued Rothe tableaux and Grothendieck polynomials
• Bumpless pipe dreams and alternating sign matrices
• Multiply-refined enumeration of alternating sign matrices
• Gog and Magog triangles, and the Schützenberger involution
• Principal specializations of Schubert polynomials and pattern containment
• RC-Graphs and Schubert Polynomials
• Back stable Schubert calculus

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