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

Autor: Michelle Snider
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AK,..., Iss Proceedings (2009)
Druh dokumentu: article
ISSN: 1365-8050
DOI: 10.46298/dmtcs.2713
Popis: 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.
Databáze: Directory of Open Access Journals