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Student Research Projects

Killing Forms of Lie Superalgebras

Student Michael Corder
Faculty Mentor(s) Dr. Audrey Malagon
Department Mathematics

Abstract

This project will involve writing a computer program to calculate Killing forms, quadratic form (polynomial) invariants of Lie Superalgebras defined over the complex numbers. These invariants are calculated using matrix operations learned in linear algebra and programming skills learned in introductory computer science courses. My role is to create the program, check the computations, and assist in interpreting their results and looking for patterns. This project will assist in the goal of Dr. Malagon's current research project to find a concise formula for these forms over arbitrary fields, beyond the complex numbers.

 

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