Hook formulas for skew shapes. III: Multivariate and product formulas
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Publication:2328136
DOI10.5802/alco.67zbMath1425.05158arXiv1707.00931OpenAlexW2979593211WikidataQ127127395 ScholiaQ127127395MaRDI QIDQ2328136
Greta Panova, Igor Pak, Alejandro H. Morales
Publication date: 9 October 2019
Published in: Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.00931
Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Classical problems, Schubert calculus (14N15)
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Cites Work
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- Determinantal identities for flagged Schur and Schubert polynomials
- A \(q\)-enumeration of lozenge tilings of a hexagon with three dents
- Arctic circles, domino tilings and square Young tableaux
- Maximal fillings of Moon polyominoes, simplicial complexes, and Schubert polynomials
- Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes
- Enumeration of tilings of quartered Aztec rectangles
- The Selberg integral and Young books
- \(q\)-distributions on boxed plane partitions
- Enumeration formulas for Young tableaux in a diagonal strip
- Patterns in permutations and words.
- Equivariant Giambelli and determinantal restriction formulas for the Grassmannian
- Shuffling algorithm for boxed plane partitions
- Flagged Schur functions, Schubert polynomials, and symmetrizing operators
- A probabilistic proof of a formula for the number of Young tableaux of a given shape
- The shape of a typical boxed plane partition
- A \(q\)-series identity involving Schur functions and related topics
- Advanced determinant calculus
- Some combinatorial properties of Schubert polynomials
- Reduced words and plane partitions
- Tile invariants: New horizons.
- Puzzles and (equivariant) cohomology of Grassmannians
- Hook formulas for skew shapes. I: \(q\)-analogues and bijections
- A bijective proof of Macdonald's reduced word formula
- Asymptotics of the number of standard Young tableaux of skew shape
- Staircase skew Schur functions are Schur \(P\)-positive
- Tableaux and plane partitions of truncated shapes
- Schubert polynomials, 132-patterns, and Stanley's conjecture
- Nonintersecting paths, pfaffians, and plane partitions
- Symmetry classes of alternating-sign matrices under one roof
- Product formulas for certain skew tableaux
- Determinantal point processes from symplectic and orthogonal characters and applications
- Generating functions for plane partitions of a given shape
- New symmetric plane partition identities from invariant theory work of De Concini and Procesi
- A new \(q\)-Selberg integral, Schur functions, and Young books
- Limit shapes and the complex Burgers equation
- Dimers and amoebae
- Advanced determinant calculus: a complement
- The major index generating function of standard Young tableaux of shapes of the form "staircase minus rectangle"
- Enumeration of Standard Young Tableaux
- A Survey of Alternating Permutations
- Excited Young diagrams and equivariant Schubert calculus
- Lectures on Dimers
- Gröbner geometry of vertex decompositions and of flagged tableaux
- On selecting a random shifted young tableau
- A Littlewood-Richardson rule for factorial Schur functions
- Asymptotics of principal evaluations of Schubert polynomials for layered permutations
- Asymptotics for skew standard Young tableaux via bounds for characters
- Hook Formulas for Skew Shapes II. Combinatorial Proofs and Enumerative Applications
- Interpolation Analogs of Schur Q-Functions
- Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory
- Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings
- Skew hook formula for \(d\)-complete posets via equivariant \(K\)-theory
