Ruben J. Arenas

Harvey Mudd College Mathematics 2005

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Thesis Proposal: Structure of G2
Thesis Advisor: Prof. Weiqing Gu
Second Reader: Prof. Vatche Sahakian
E-Mail: ruben_arenas@hmc.edu
Presentation Days Talk: Constructing a Matrix Representation of G2
Thesis: Constructing a Matrix Representation of the Lie group G2

Constructing a Matrix Representation of G2

We define the Lie group G2 and show several equivalent ways to view G2. We do the same with its Lie algebra g2. We identify a new basis for g2 using Bryant's view of g2 and geometric considerations we develop. We then show how to construct a matrix representation of G2 given our particular basis for g2.

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