Geodesic
A Combinatorial Approach to Multiplicity-Free Richardson Subvarieties of the Grassmannian
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) (2009).

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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. 
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     author = {Snider, Michelle},
     title = {A {Combinatorial} {Approach} to {Multiplicity-Free} {Richardson} {Subvarieties} of the {Grassmannian}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)},
     year = {2009},
     doi = {10.46298/dmtcs.2713},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2713/}
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Snider, Michelle. A Combinatorial Approach to Multiplicity-Free Richardson Subvarieties of the Grassmannian. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009) (2009). doi : 10.46298/dmtcs.2713. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2713/

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