Stability of the Coefficients in the Kronecker Product of a Hook and a Rectangle
Date of Creation
2015
Document Type
Departmental Honors Thesis - Restricted Access
Department
Mathematics
First Advisor
Cristina Ballantine
Abstract
We use recent work of Jonah Blasiak (2012) to prove a stability result for the coefficients in the Kronecker product of two Schur functions: one indexed by a hook partition, and one indexed by a rectangle partition. We also give bounds for the size of the partition starting with which the Kronecker coefficients are stable. Moreover, we show that once the bound is reached, no new Schur functions appear in the decomposition of Kronecker product, thus allowing one to recover the decomposition from the smallest case in which the stability holds.
Recommended Citation
Hallahan, William, "Stability of the Coefficients in the Kronecker Product of a Hook and a Rectangle" (2015). Math and Computer Science Honors Theses. 48.
https://crossworks.holycross.edu/math_honor/48