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Braid Groups and Evolution Algebras

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Author: Troha, Carolyn Elaine
Advisor: Tian, Jianjun Paul
Committee Members: Lutzer, D. J. (David John), 1943-; Vinroot, C. Ryan; Panoussi, Vassiliki, 1967-
Issued Date: 2009-05-12
Subjects: Algebra, geometry and mathematical analysis
URI: http://hdl.handle.net/10288/1194
Description: 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.
Degree: Bachelors of Science in Mathematics

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