A class of q-symmetric functions arising from plethysm

摘要

We introduce and study a class of symmetric functions that depend on a parameter q, which includes symmetric functions that have already appeared in the literature in connection with Jack symmetric functions, parking functions, and lattices of noncrossing partitions. Our results generalize previous results by Haiman, Stanley, and the author. (C) 2000 Academic Press. [References: 27]