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Braid Groups and Evolution Algebras
Troha, Carolyn Elaine
Troha, Carolyn Elaine
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.
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Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.
Date
2009-05-12
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Keywords
Algebra, geometry and mathematical analysis
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Department
Mathematics