Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions

zbMath1344.05148arXiv1509.03803MaRDI QIDQ311507

Darij Grinberg, Gaku Liu, Pavel Galashin

Publication date: 13 September 2016

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03803

zbMATH Keywords

Schur functionsYoung tableauxsymmetric functionsplane partitionsdual stable Grothendieck polynomials

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (12)

A Littlewood-Richardson rule for dual stable Grothendieck polynomials ⋮ Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions ⋮ Combinatorial relations on skew Schur and skew stable Grothendieck polynomials ⋮ Refined dual Grothendieck polynomials, integrability, and the Schur measure ⋮ Free fermions and canonical Grothendieck polynomials ⋮ MacMahon’s statistics on higher-dimensional partitions ⋮ Jacobi-Trudi formulas for flagged refined dual stable Grothendieck polynomials ⋮ Enumeration of plane partitions by descents ⋮ Jacobi-Trudi formula for refined dual stable Grothendieck polynomials ⋮ The discrete Toda equation revisited: dualβ-Grothendieck polynomials, ultradiscretization, and static solitons ⋮ Duality and deformations of stable Grothendieck polynomials ⋮ Determinantal formulas for dual Grothendieck polynomials

Cites Work

• Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions
• A Littlewood-Richardson rule for the \(K\)-theory of Grassmannians.
• Noncommutative Schur functions and their applications. (Reprint)
• Critical groups for Hopf algebra modules
• Combinatorial Hopf Algebras and K-Homology of Grassmanians
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