Constructing a Matrix Representation of the Lie Group 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...
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| Format: | Others |
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Scholarship @ Claremont
2005
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| Online Access: | https://scholarship.claremont.edu/hmc_theses/166 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1169&context=hmc_theses |