Asymptotics of the number of standard Young tableaux of skew shape

DOI10.1016/j.ejc.2017.11.007zbMath1384.05175arXiv1610.07561OpenAlexW2542443545MaRDI QIDQ1746566

Alejandro H. Morales, Igor Pak, Greta Panova

Publication date: 25 April 2018

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

Full work available at URL: https://arxiv.org/abs/1610.07561

zbMATH Keywords

Naruse's hook-length formula

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Combinatorics of partially ordered sets (06A07)

Related Items

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. I: \(q\)-analogues and bijections, Effective Poset Inequalities, Interview with Greta Panova, Roots of descent polynomials and an algebraic inequality on hook lengths, On the largest Kronecker and Littlewood-Richardson coefficients, Sorting probability for large Young diagrams, Hook inequalities, Asymptotics of principal evaluations of Schubert polynomials for layered permutations, A bijective proof of the hook-length formula for skew shapes, The bounds for the number of linear extensions via chain and antichain coverings, A bijective proof of the hook-length formula for skew shapes, Naruse hook formula for linear extensions of mobile posets, On the moments of normal distributions and numbers of standard Young tableaux, Naruse hook formula for linear extensions of mobile posets, On the Okounkov-Olshanski formula for standard tableaux of skew shapes, Asymptotics for skew standard Young tableaux via bounds for characters, Periodic P-partitions, Hook formulas for skew shapes. III: Multivariate and product formulas, A generalization of balanced tableaux and marriage problems with unique solutions

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Enumeration formulas for Young tableaux in a diagonal strip
• Asymptotics of characters of symmetric groups related to Stanley character formula
• Entropy and sorting.
• Groups of intermediate growth: an introduction.
• Flagged Schur functions, Schubert polynomials, and symmetrizing operators
• Symmetries of plane partitions
• The number of linear extensions of subset ordering
• Counting linear extensions
• Alternating-sign matrices and domino tilings. I
• A variational problem for random Young tableaux
• Representations of symmetric groups and free probability
• Asymptotics of Young diagrams and hook numbers
• Approximating the number of linear extensions
• On the enumeration of skew Young tableaux
• Hook formulas for skew shapes. I: \(q\)-analogues and bijections
• Tableaux and plane partitions of truncated shapes
• The number of linear extensions of the Boolean lattice
• Ribbon Schur functions
• Asymptotic theory of characters of the symmetric group
• Content evaluation and class symmetric functions
• Planar decompositions of tableaux and Schur function determinants
• Bijections for hook pair identities
• New symmetric plane partition identities from invariant theory work of De Concini and Procesi
• Sorting under partial information (without the ellipsoid algorithm).
• Enumeration of rises and falls by position
• Limit shapes for random square Young tableaux
• Degrees of irreducible characters of the symmetric group and exponential growth
• The Surprising Mathematics of Longest Increasing Subsequences
• The major index generating function of standard Young tableaux of shapes of the form "staircase minus rectangle"
• Enumeration of Standard Young Tableaux
• Plane partitions in the work of Richard Stanley and his school
• A Survey of Alternating Permutations
• How often are two permutations comparable?
• Excited Young diagrams, equivariant $K$-theory, and Schubert varieties
• Hook Formulas for Skew Shapes II. Combinatorial Proofs and Enumerative Applications
• The Degree Formula for the Skew-Representations of the Symmetric Group
• The Hook Graphs of the Symmetric Group