Honors College | Scholars Week Theses Presentations

Title

Finiteness of Posets Structured by Certain 2x2 Integer Matrices

Presenter Information

Jacob DennerleinFollow

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

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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.