Date Thesis Awarded

5-2009

Document Type

Honors Thesis

Degree Name

Bachelors of Science (BS)

Department

Mathematics

Advisor

Jianjun Paul Tian

Committee Member

D. J. Lutzer

Committee Member

C. Ryan Vinroot

Committee Member

Vassiliki Panoussi

Abstract

In this paper, we explore the relationship between the braid group and evolution algebras. First, we explore the braid group and how it is constructed. Next we discuss the Burau representation, and its relationship with free differential calculus and Magnus representations. Finally we use the Burau representation to create a new representation from the braid group directly to evolution algebras.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

Comments

Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.

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