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Discrete Mathematics & Theoretical Computer Science |
We prove that the subset of quasisymmetric polynomials conjectured by Bergeron and Reutenauer to be a basis for the coinvariant space of quasisymmetric polynomials is indeed a basis. This provides the first constructive proof of the Garsia―Wallach result stating that quasisymmetric polynomials form a free module over symmetric polynomials and that the dimension of this module is $n!$.
Source : ScholeXplorer
IsRelatedTo ARXIV 1403.1527 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1403.1527
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