A symmetric Bloch-Okounkov theorem
Number Theory
2021-03-17 v2 Algebraic Geometry
Combinatorics
Abstract
The algebra of so-called shifted symmetric functions on partitions has the property that for all elements a certain generating series, called the -bracket, is a quasimodular form. More generally, if a graded algebra of functions on partitions has the property that the -bracket of every element is a quasimodular form of the same weight, we call a quasimodular algebra. We introduce a new quasimodular algebra consisting of symmetric polynomials in the part sizes and multiplicities.
Cite
@article{arxiv.2006.03401,
title = {A symmetric Bloch-Okounkov theorem},
author = {Jan-Willem M. van Ittersum},
journal= {arXiv preprint arXiv:2006.03401},
year = {2021}
}