
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.

Nonclosed commutators
pdf.

Size of $\pi_1$
pdf.

Representation ring
pdf.
