Honors College | Scholars Week Theses Presentations
Finiteness of Posets Structured by Certain 2x2 Integer Matrices
Academic Level at Time of Presentation
Senior
Major
Computer Science and Mathematics
Minor
None
List all Project Mentors & Advisor(s)
Dr. Robert Donnelly
Presentation Format
Oral Presentation
Abstract/Description
In the latter half of the nineteenth century, Killing and Cartan famously classified the finite-dimensional complex simple Lie algebras. This classification result is now most often rendered using a peculiar collection of matrices/graphs. This matrix/graph-classification has since been found to have many occurrences. In this talk, we attempt to obtain a new Cartan-Killing type of classification result relating to the structure of certain edge-colored posets.
Affiliations
Honors Thesis
Finiteness of Posets Structured by Certain 2x2 Integer Matrices
In the latter half of the nineteenth century, Killing and Cartan famously classified the finite-dimensional complex simple Lie algebras. This classification result is now most often rendered using a peculiar collection of matrices/graphs. This matrix/graph-classification has since been found to have many occurrences. In this talk, we attempt to obtain a new Cartan-Killing type of classification result relating to the structure of certain edge-colored posets.