On the Okounkov-Olshanski formula for standard tableaux of skew shapes

zbMath1447.05227arXiv2007.05006MaRDI QIDQ2199900

Alejandro H. Morales, Daniel Zhu

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05006

zbMATH Keywords

standard tableauxskew shapesOkounkov-Olshanski formulaskew reverse plane partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10)

Related Items (4)

Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings ⋮ Skew shape asymptotics, a case-based introduction ⋮ Hook formulas for skew shapes. IV: Increasing tableaux and factorial Grothendieck polynomials ⋮ On the Okounkov-Olshanski formula for standard tableaux of skew shapes

Uses Software

• OEIS

Cites Work

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• A formula for the specialization of skew Schur functions
• \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions
• Asymptotics of maximal and typical dimensions of irreducible representations of a symmetric group
• Enumeration of lattice paths and generating functions for skew plane partitions
• Hook formulas for skew shapes. I: \(q\)-analogues and bijections
• On the Okounkov-Olshanski formula for standard tableaux of skew shapes
• Hook formulas for skew shapes. III: Multivariate and product formulas
• Factorial Grothendieck polynomials
• A Combinatorial Interpretation of the Seidel Generation of Genocchi Numbers
• Hook Formulas for Skew Shapes II. Combinatorial Proofs and Enumerative Applications
• Theory and Application of Plane Partitions. Part 2
• The Hook Graphs of the Symmetric Group

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