Genomic tableaux
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Publication:2397707
DOI10.1007/s10801-016-0720-8zbMath1362.05134arXiv1603.08490OpenAlexW2912047518MaRDI QIDQ2397707
Alexander Yong, Oliver Pechenik
Publication date: 23 May 2017
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.08490
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Classical problems, Schubert calculus (14N15)
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Cites Work
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- \(K\)-Knuth equivalence for increasing tableaux
- \(K\)-theory of minuscule varieties
- Increasing tableaux, Narayana numbers and an instance of the cyclic sieving phenomenon
- \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions
- Proofs and generalizations of a homomesy conjecture of Propp and Roby
- Resonance in orbits of plane partitions and increasing tableaux
- A skein action of the symmetric group on noncrossing partitions
- Monodromy and \(K\)-theory of Schubert curves via generalized \textit{jeu de taquin}
- Longest increasing subsequences, Plancherel-type measure and the Hecke insertion algorithm
- Poset edge densities, nearly reduced words, and barely set-valued tableaux
- Antipode formulas for some combinatorial Hopf algebras
- Structure constants for \(K\)-theory of Grassmannians, revisited
- A proof of \(K\)-theoretic Littlewood-Richardson rules by Bender-Knuth-type involutions
- A combinatorial rule for (co)minuscule Schubert calculus
- A geometric Littlewood-Richardson rule
- Combinatorial rules for three bases of polynomials
- Combinatorics of \(K\)-theory via a \(K\)-theoretic Poirier-Reutenauer bialgebra
- A jeu de taquin theory for increasing tableaux, with application to \(K\)-theoretic Schubert calculus
- Shifted tableaux and the projective representations of symmetric groups
- Puzzles and (equivariant) cohomology of Grassmannians
- Set-valued skyline fillings
- Positivity in the Grothendieck group of complex flag varieties.
- A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
- Combinatorial aspects of the \(K\)-theory of Grassmannians
- Shifted Hecke insertion and the \(K\)-theory of \(\mathrm{OG}(n,2n+1)\)
- \(K\)-theoretic Schubert calculus for \(OG(n,2n+1)\) and jeu de taquin for shifted increasing tableaux
- Cyclic sieving of increasing tableaux and small Schröder paths
- Stable Grothendieck polynomials and \(K\)-theoretic factor sequences
- Permutations, matrices, and generalized Young tableaux
- Dual Filtered Graphs
- Pieri rules for the K-theory of cominuscule Grassmannians
- Equivariant -theory of Grassmannians II: the Knutson–Vakil conjecture
- Equivariant Schubert calculus and jeu de taquin
- Doppelgängers: Bijections of Plane Partitions
- EQUIVARIANT -THEORY OF GRASSMANNIANS
- Combinatorial Hopf Algebras and K-Homology of Grassmanians
- Lectures on the Geometry of Flag Varieties
- Combinatorial K-theory
