Browsing Department of Mathematics (MU) by Thesis Advisor "Chindris, Calin"
Now showing items 1-4 of 4
Generalized littlewood-richardson coefficients for branching rules of GL(n) and extremal weight crystals (University of Missouri--Columbia, 2018)This thesis is devoted to the combinatorial and geometric study of certain multiplicities, which we call generalized Littlewood-Richardson coefficients. These are sums of products of single Littlewood-Richardson coefficients, ...
(University of Missouri--Columbia, 2016)The main investigation in this thesis is to determine when two weights give rise to the same semi-stable subcategory in the case of representations of quivers. This question was answered via explicit construction by Ingalls, ...
(University of Missouri--Columbia, 2016)In this dissertation, we solve a conjecture raised by Victor Kac in 1982 concerning the so-called locally semi-simple representations of quivers.
Persistent homology : categorical structural theorem and stability through representations of quivers (University of Missouri--Columbia, 2018)The purpose of this thesis is to advance the study and application of the field of persistent homology through both categorical and quiver theoretic viewpoints. While persistent homology has its roots in these topics, there ...