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Quaternions pdf.
Smoothness of inversion pdf.
Adjoint representation pdf.
Maximal compact subgroups pdf.
ODE pdf.
Integral curves pdf.
Local and global Frobenius theorems pdf.
More applications of the exponential map pdf.
Character theory pdf.
Representations of $\mathfrak{sl}_2$ pdf.
Weyl groups and character lattices pdf.
Weyl Jacobian pdf.
Weyl group computations pdf.
Fundamental groups pdf.
Clifford algebras pdf.
SU(2) pdf.
Coroot pdf.
Dual root system pdf.
Root system calculations pdf.
Root system decomposition pdf.
Simple factors pdf.
Non-closed commutators pdf.
Size of $\pi_1$ pdf.
Representation ring pdf.