On the Non Negativity of a Special Class of Generalized Littlewood Richardson Coefficients

Abstract

In this paper we give a combinatorial proof of the non negativity of the generalized Littlewood Richardson coefficients cu,v in the case where l(v) = 2. The proof is based on the local structure of the Bruhat order of Sn and on properties of generalized dual Schubert polynomials. We also reprove Monk’s formula using the same technique. 

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Cite this paper

@inproceedings{PANAGIOTIS2016OnTN, title={On the Non Negativity of a Special Class of Generalized Littlewood Richardson Coefficients}, author={DIMAKIS PANAGIOTIS and Dongkwan Kim}, year={2016} }