On orbits of order ideals of minuscule posets

DOI10.1007/s10801-012-0380-2zbMath1283.06007arXiv1108.5245OpenAlexW2117593827MaRDI QIDQ1947196

Xiaolin Shi, David B. Rush

Publication date: 12 April 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5245

zbMATH Keywords

antichainsfully commutative elementsminuscule representationsorder idealscyclic sieving phenomenonrowmotionminuscule posetsPanyushev complement

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07)

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• On minuscule representations, plane partitions and involutions in complex Lie groups
• Minuscule posets from neighbourly graph sequences
• On the fully commutative elements of Coxeter groups
• Regular elements of finite reflection groups
• Sur les hypergraphes invariants
• The cyclic sieving phenomenon
• Orbits of antichains revisited
• Bruhat lattices, plane partition generating functions, and minuscule representations
• Some arithmetic properties of the \(q\)-Euler numbers and \(q\)-Salié numbers
• Combinatorics of Coxeter Groups

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