• Senior Thesis
• Department of Mathematics
• Harvey Mudd College

Ruben J. Arenas

Harvey Mudd College Mathematics 2005

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.