DOAJ Open Access 2020

Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions

Pavel Galashin Darij Grinberg Gaku Liu

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (3)

Pavel Galashin

Darij Grinberg

Gaku Liu

Format Sitasi

APA MLA BibTeX

Galashin, P., Grinberg, D., Liu, G. (2020). Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions. https://doi.org/10.46298/dmtcs.6374

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6374

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6374
Akses: Open Access ✓