A probabilistic method for the number of standard immaculate tableaux

DOI10.1216/RMJ-2018-48-6-2087zbMath1400.05271OpenAlexW2901808482WikidataQ128880379 ScholiaQ128880379MaRDI QIDQ1627612

Brian Y. Sun, Yingying Hu

Publication date: 30 November 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1543028454

zbMATH Keywords

compositionsprobabilistic methodsnon-commutative symmetric functionshook-length formulaimmaculate tableau

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Combinatorial probability (60C05)

Cites Work

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• Reverse plane partitions and tableau hook numbers
• A probabilistic proof of a formula for the number of Young tableaux of a given shape
• Noncommutative symmetric functions
• A bijective proof of the hook-length formula for standard immaculate tableaux
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
• A bijective proof of the hook-length formula
• A Lift of the Schur and Hall–Littlewood Bases to Non-commutative Symmetric Functions
• The Hook Graphs of the Symmetric Group

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