The immersion poset on partitions

Lisa Johnston, David Kenepp, Evuilynn Nguyen +4

We introduce the immersion poset $(\mathcal{P}(n),{⩽}_I)$ on partitions, defined by $\lambda {⩽}_I\mu$ if and only if $s_{\mu }(x_1,\dots ,x_N)-s_{\lambda }(x_1,\dots ,x_N)$ is monomi…