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Creators/Authors contains: "SEELINGER, GH"

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  1. ; ; ; ; (, Journal für die reine und angewandte Mathematik)
    Abstract. We identify certain combinatorially defined rational functions which, under the shuffle to Schiffmann algebra isomorphism, map to LLT polynomials in any of the distinguished copies in the algebra of symmetric functions embedded in the elliptic Hall algebra of Burban and Schiffmann. As a corollary, we deduce an explicit raising operator formula for the nabla operator applied to any LLT polynomial. In particular, we obtain a formula for ∇msλ which serves as a starting point for our proof of the Loehr-Warrington conjecture in a companion paper to this one 
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