Shifted combinatorial Hopf algebras from \(K\)-theory
From MaRDI portal
Publication:6614055
DOI10.5802/ALCO.362zbMATH Open1548.05327MaRDI QIDQ6614055
Publication date: 7 October 2024
Published in: Algebraic Combinatorics (Search for Journal in Brave)
shifted tableauxpeak algebracombinatorial Hopf algebrasMalvenuto-Reutenauer Hopf algebraK-theoretic symmetric functionspeak quasisymmetric functions
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)
Cites Work
- Title not available (Why is that?)
- \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions
- A lift of Schur's Q-functions to the peak algebra
- Duality and deformations of stable Grothendieck polynomials
- The peak algebra and the Hecke-Clifford algebras at \(q=0\)
- Colored posets and colored quasisymmetric functions
- Structure of the Malvenuto-Reutenauer Hopf algebra of permutations
- Antipode formulas for some combinatorial Hopf algebras
- \(K\)-theory formulas for orthogonal and symplectic orbit closures
- Construction of dendriform trialgebras.
- Enriched \(P\)-partitions and peak algebras
- Shifted quasi-symmetric functions and the Hopf algebra of peak functions
- Peak quasisymmetric functions and Eulerian enumeration
- The peak algebra of the symmetric group
- Symmetric Grothendieck polynomials, skew Cauchy identities, and dual filtered Young graphs
- Shifted Hecke insertion and \(K\)-theory of \(OG(n,2n+1)\)
- The peak algebra of the symmetric group revisited.
- A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
- Combinatorial aspects of the \(K\)-theory of Grassmannians
- Linear compactness and combinatorial bialgebras
- Neutral-fermionic presentation of the \(K\)-theoretic \(Q\)-function
- Crystal structures for canonical Grothendieck functions
- On some properties of symplectic Grothendieck polynomials
- Genomic tableaux
- \(K\)-theoretic Schubert calculus for \(OG(n,2n+1)\) and jeu de taquin for shifted increasing tableaux
- Stable Grothendieck polynomials and \(K\)-theoretic factor sequences
- New results on the peak algebra.
- Toward a polynomial basis of the algebra of peak quasisymmetric functions
- Enriched set-valued \(P\)-partitions and shifted stable Grothendieck polynomials
- Pieri rules for the K-theory of cominuscule Grassmannians
- Combinatorial Hopf algebras and generalized DehnâSommerville relations
- The peak algebra and the descent algebras of types B and D
- An Introduction to Quasisymmetric Schur Functions
- Combinatorial Hopf Algebras and K-Homology of Grassmanians
- Enriched đ-Partitions
- Combinatorial formulas for shifted dual stable Grothendieck polynomials
- Expanding \(K\) theoric Schur \(Q\)-functions
- Shifted insertion algorithms for primed words
This page was built for publication: Shifted combinatorial Hopf algebras from \(K\)-theory
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6614055)