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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6510 • Differentiable Manifolds

Fall 2016 • Question 4

Question

Math 6510 • Differentiable Manifolds Fall 2016 • Question 4

Show that the Lie algebra of \(\mathrm {SL}_3(\mathbb {R})\) is the space of \(3\times 3\) matrices whose trace equals 0.

Raw LaTeX

Show that the Lie algebra of \(\SL_3(\R)\) is the space of \(3\times3\) matrices
whose trace equals 0.

Topic Tags

Lie Algebras and Exponential Maps Lie Groups and Matrix Lie Groups