Poset structure concerning cylindric diagrams

DOI10.37236/12205arXiv2302.01774OpenAlexW4392616019MaRDI QIDQ6194255

Kento Nakada, Yoshitaka Toyosawa, Takeshi Suzuki

Publication date: 19 March 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.01774

zbMATH Keywords

infinite \(d\)-complete posets with natural orderingset of order ideals of a cylindric diagram

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Algebraic aspects of posets (06A11)

Cites Work

• Completely splittable representations of symmetric groups and affine Hecke algebras.
• Colored hook formula for a generalized Young diagram
• Minuscule elements of Weyl groups, the numbers game, and \(d\)-complete posets
• On the fully commutative elements of Coxeter groups
• Completely splittable representations of symmetric groups
• Unified characterizations of minuscule Kac-Moody representations built from colored posets
• Classifications of \(\Gamma\)-colored \(d\)-complete posets and upper \(P\)-minuscule Borel representations
• On Hook Formulas for Cylindric Skew Diagrams
• Minuscule elements of Weyl groups
• Skew hook formula for \(d\)-complete posets via equivariant \(K\)-theory
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