DOAJ Open Access 2009

A Combinatorial Approach to Multiplicity-Free Richardson Subvarieties of the Grassmannian

Michelle Snider

Abstrak

We consider Buch's rule for K-theory of the Grassmannian, in the Schur multiplicity-free cases classified by Stembridge. Using a result of Knutson, one sees that Buch's coefficients are related to Möbius inversion. We give a direct combinatorial proof of this by considering the product expansion for Grassmannian Grothendieck polynomials. We end with an extension to the multiplicity-free cases of Thomas and Yong.

Topik & Kata Kunci

Penulis (1)

M

Michelle Snider

Format Sitasi

Snider, M. (2009). A Combinatorial Approach to Multiplicity-Free Richardson Subvarieties of the Grassmannian. https://doi.org/10.46298/dmtcs.2713

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2713
Informasi Jurnal
Tahun Terbit
2009
Sumber Database
DOAJ
DOI
10.46298/dmtcs.2713
Akses
Open Access ✓