New posts in Lie Algebras

Lie algebra of $\left(\begin{smallmatrix}a & b\\ & a^2\end{smallmatrix}\right )$ in $GL_2(\mathbb{R})$

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

Derived series of Lie algebra in reverse

Finite dimensional irreducible representations of a semisimple Lie Algebra separate points of the universal enveloping algebra.

Tangent spaces to the orbit of a Lie group

Understanding Serre-Chevalley relations

The matrix exponential is smooth

Using Cartan decomposition to prove $SO(p,q)$ has two connected components

Show that the Lie algebra generated by x, y with relations $ad(x)^2(y) = ad(y)^5(x) = 0$ is infinite dimensional and construct a basis

What is the $\frac{1}{2}$ representation of $U(1)$?