L. Lapointe

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math.CO2025

$m$ -Symmetric functions, non-symmetric Macdonald polynomials and positivity conjectures

Luc Lapointe

We study the space, $R_{m}$ , of $m$ -symmetric functions consisting of polynomials that are symmetric in the variables $x_{m + 1}, x_{m + 2}, x_{m + 3}, \dots$ but have no special symmetry in…

m-Symmetric functions, non-symmetric Macdonald polynomials and positivity conjectures

$m$ -Symmetric functions, non-symmetric Macdonald polynomials and positivity conjectures