This project uses graph theory and techniques from linear and abstract algebra to study the dimensions of nilpotent subalgebras of a matrix algebra. The main goal is to understand important theorems of Lie-Kolchin and Schur on these dimensions and then to interpolate between them.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Adwetewa-Badu, Kwabena A.

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-031321-204737
• 5656

Advisor

• Keane, Patrick Gerard

Year

• 2021

Date created

• 2021-03-13

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright