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Discrete Mathematics & Theoretical Computer Science |
The dual stable Grothendieck polynomials are a deformation of the Schur functions, originating in the study of the K-theory of the Grassmannian. We generalize these polynomials by introducing a countable family of additional parameters such that the generalization still defines symmetric functions. We outline two self-contained proofs of this fact, one of which constructs a family of involutions on the set of reverse plane partitions generalizing the Bender-Knuth involutions on semistandard tableaux, whereas the other classifies the structure of reverse plane partitions with entries 1 and 2.
Source : ScholeXplorer
IsRelatedTo ARXIV 1501.00051 Source : ScholeXplorer IsRelatedTo DOI 10.1016/j.jcta.2017.04.001 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1501.00051
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