Date Thesis Awarded
5-2009
Access Type
Honors Thesis -- Access Restricted On-Campus Only
Degree Name
Bachelors of Science (BS)
Department
Mathematics
Advisor
Jianjun Paul Tian
Committee Members
D. J. Lutzer
C. Ryan Vinroot
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.
Recommended Citation
Troha, Carolyn Elaine, "Braid Groups and Evolution Algebras" (2009). Undergraduate Honors Theses. William & Mary. Paper 273.
https://scholarworks.wm.edu/honorstheses/273
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.