Sep 25, 2014 · Abstract. Determining if a symmetric function is Schur-positive is a prevalent and, in general, a notoriously difficult problem.
Oct 10, 2013 · Abstract:Determining if a symmetric function is Schur-positive is a prevalent and, in general, a notoriously difficult problem.
Schur-Positivity in a Square. Schur-Positivity in a Square. Cristina ... In this paper we study the Schur-positivity of a family of symmetric functions.
Nov 9, 2017 · Some of the most important open problems in Algebraic Combinatorics concern the Schur positivity of classes of symmetric functions. Why is this an important ...
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Feb 9, 2024 · By showing that the graph satisfies a set of axioms, it follows that each connected component sum to a Schur function. For example, one can ...
Jun 15, 2017 · As the title says, what methods exists for proving that a symmetric polynomial (or function) is Schur positive, perhaps involving extra parameters.
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We prove that the associated Chow quasi-symmetric generating function is equal to a non-negative sum of products of two Schur functions.
Mar 20, 2024 · A common problem arising in algebraic combinatorics is to show that some symmetric function is Schur-positive. There are several different ...
Mar 6, 2024 · In this paper we explore a notion of Schur-positive log-concavity, which results in new classes of polynomials that we conjecture to be Schur ...
A zigzag shape is a path-connected skew shape that does not contain a 2×2 square. For example, every hook is a zigzag shape. There is a natural bijection ...