DOAJ Open Access 2020

A dual approach to structure constants for K-theory of Grassmannians

Huilan Li Jennifer Morse Pat Shields

Lihat Sumber DOI

Abstrak

The problem of computing products of Schubert classes in the cohomology ring can be formulated as theproblem of expanding skew Schur polynomial into the basis of ordinary Schur polynomials. We reformulate theproblem of computing the structure constants of the Grothendieck ring of a Grassmannian variety with respect to itsbasis of Schubert structure sheaves in a similar way; we address the problem of expanding the generating functions forskew reverse-plane partitions into the basis of polynomials which are Hall-dual to stable Grothendieck polynomials. From this point of view, we produce a chain of bijections leading to Buch’s K-theoretic Littlewood-Richardson rule.

Topik & Kata Kunci

Mathematics

Penulis (3)

Huilan Li

Jennifer Morse

Pat Shields

Format Sitasi

APA MLA BibTeX

Li, H., Morse, J., Shields, P. (2020). A dual approach to structure constants for K-theory of Grassmannians. https://doi.org/10.46298/dmtcs.6361

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6361

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6361
Akses: Open Access ✓