Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions - Archive ouverte HAL
Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2020

Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions

Résumé

The dual stable Grothendieck polynomials are a deformation of the Schur functions, originating in the study of the K-theory of the Grassmannian. We generalize these polynomials by introducing a countable family of additional parameters such that the generalization still defines symmetric functions. We outline two self-contained proofs of this fact, one of which constructs a family of involutions on the set of reverse plane partitions generalizing the Bender-Knuth involutions on semistandard tableaux, whereas the other classifies the structure of reverse plane partitions with entries 1 and 2.
Fichier principal
Vignette du fichier
final_138.pdf (280.4 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-02168300 , version 1 (28-06-2019)

Identifiants

Citer

Pavel Galashin, Darij Grinberg, Gaku Liu. Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6374⟩. ⟨hal-02168300⟩
17 Consultations
567 Téléchargements

Altmetric

Partager

More