Skip to Main content Skip to Navigation
Conference papers

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

Abstract : 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.
Complete list of metadata

Cited literature [5 references]  Display  Hide  Download

https://hal.inria.fr/hal-01185405
Contributor : Coordination Episciences Iam <>
Submitted on : Thursday, August 20, 2015 - 11:08:03 AM
Last modification on : Friday, June 11, 2021 - 5:12:08 PM
Long-term archiving on: : Wednesday, April 26, 2017 - 9:54:38 AM

File

dmAK0167.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01185405, version 1

Collections

Citation

Michelle Snider. A Combinatorial Approach to Multiplicity-Free Richardson Subvarieties of the Grassmannian. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. pp.805-812. ⟨hal-01185405⟩

Share

Metrics

Record views

76

Files downloads

713