New posts in Lie Groups

Which group is given by $\begin{pmatrix} e^{i\theta}&x\\0&e^{-i\theta}\end{pmatrix}$?

Real, Complex, Quaternionic and Octonionic Projective spaces

What is the adjoint representation of $\operatorname{GL}_n(\mathbb{R})$?

How are $SU(n)$, $SL(n)$ and $\mathfrak{sl}(n,\mathbb{C})$ related?

Centralizer of one element on a compact connected Lie group

Automorphism group of the projective unitary group PU(N) and SO(N)

Taylor series of functions with matrix input

What makes the 'special groups' ($\det A = 1$) special?

If two rotation matrices commute, do their infinitesimal generators commute too?

For which $P,Q \in \text{SO}$ $T_P\text{SO}$ and $T_Q\text{SO}$ are parallel?