Graduation Year


Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Science



Reader 1

Weiqing Gu

Reader 2

Vatche Sahakian


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. We examine the geometry of 1 and 2-parameter subgroups of G2. Finally, we suggest an area of further research using the new geometric characterization we developed for g2.

rarenas-2005-prop.pdf (61 kB)
Thesis Proposal

presentation_days.pdf (421 kB)
Presentation Days Talk

Ruben J. Arenas.jpg (6 kB)
Picture of Ruben Arenas