Quasi-symmetric functions as polynomial functions on Young diagrams
arXiv:1312.2727
Abstract
We determine the most general form of a smooth function on Young diagrams, that is, a polynomial in the interlacing or multirectangular coordinates whose value depends only on the shape of the diagram. We prove that the algebra of such functions is isomorphic to quasi-symmetric functions, and give a noncommutative analog of this result.
34 pages, 4 figures, version including minor modifications suggested by referees
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