Browsing University of Waterloo by Supervisor "Purbhoo, Kevin"
Now showing items 1-3 of 3
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Action of degenerate Bethe operators on representations of the symmetric group
(University of Waterloo, 2018-05-24)Degenerate Bethe operators are elements defined by explicit sums in the center of the group algebra of the symmetric group. They are useful on account of their relation to the Gelfand-Zetlin algebra and the Young-Jucys-Murphy ... -
Combinatorics of Grassmannian Decompositions
(University of Waterloo, 2019-08-22)This thesis studies several combinatorially defined families of subsets of the Grassmannian. We introduce and study a family of subsets called “basis shape loci” associated to transversal matroids. Additionally, we study ... -
On Combinatorics, Integrability and Puzzles
(University of Waterloo, 2020-10-23)In the last decade, many old and new results in combinatorics have been shown using the theory of quantum integrable systems from particle physics. The key to solving such problems is the derivation of an underlying ...