\(K\)-theoretic Schubert calculus for \(OG(n,2n+1)\) and jeu de taquin for shifted increasing tableaux

DOI10.1515/crelle-2012-0071zbMath1348.14127arXiv1002.1664OpenAlexW2964279988MaRDI QIDQ2450188

Edward Clifford, Hugh Thomas, Alexander Yong

Publication date: 16 May 2014

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.1664

zbMATH Keywords

Schubert calculusLittlewood-Richardson rulejeu de taquinorthogonal Grassmannian

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Classical problems, Schubert calculus (14N15)

Related Items (19)

Shifted Hecke insertion and the \(K\)-theory of \(\mathrm{OG}(n,2n+1)\) ⋮ Minuscule analogues of the plane partition periodicity conjecture of Cameron and Fon-Der-Flaass ⋮ Genomic tableaux ⋮ Promotion of increasing tableaux: frames and homomesies ⋮ Orbits of plane partitions of exceptional Lie type ⋮ Enriched set-valued \(P\)-partitions and shifted stable Grothendieck polynomials ⋮ \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions ⋮ A web basis of invariant polynomials from noncrossing partitions ⋮ Bijecting hidden symmetries for skew staircase shapes ⋮ Combinatorial formulas for shifted dual stable Grothendieck polynomials ⋮ Expanding \(K\) theoric Schur \(Q\)-functions ⋮ Shifted insertion algorithms for primed words ⋮ Shifted Hecke insertion and \(K\)-theory of \(OG(n,2n+1)\) ⋮ Resonance in orbits of plane partitions and increasing tableaux ⋮ Around 16-dimensional quadratic forms in \(I^3_q\) ⋮ Unique rectification in \(d\)-complete posets: towards the \(K\)-theory of Kac-Moody flag varieties ⋮ Dual filtered graphs ⋮ Unique rectification in \(d\)-complete posets ⋮ \(K\)-theory formulas for orthogonal and symplectic orbit closures

This page was built for publication: \(K\)-theoretic Schubert calculus for \(OG(n,2n+1)\) and jeu de taquin for shifted increasing tableaux