Author:
van Ittersum Jan-Willem M.
Abstract
AbstractThe algebra of so-called shifted symmetric functions on partitions has the property that for all elements a certain generating series, called the q-bracket, is a quasimodular form. More generally, if a graded algebra A of functions on partitions has the property that the q-bracket of every element is a quasimodular form of the same weight, we call A a quasimodular algebra. We introduce a new quasimodular algebra $$\mathcal {T}$$
T
consisting of symmetric polynomials in the part sizes and multiplicities.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Mathematics (miscellaneous),Theoretical Computer Science
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