New posts in lie-algebras

What is the advantage of defining Lie Algebras by left-invariant vector fields of a Lie Group?

Calculating the Lie algebra of $SO(2,1)$

The center of a simply connected semisimple Lie group

Decomposition of a tensor product of Lie algebra representations into irreducibles

Lie algebra: intuition of "Lie Algebra is tangent space of corresponding Lie Group"?

How that the Lie algebra of the normalizer of a Lie group equal the normalizer of the Lie algebra

Is it really unknown that every endomorphism of the Weyl algebra $A_1$ is an isomorphism?

Prove that $e^{t(X+Y)}=e^{tX} e^{tY}$ implies $[X,Y]=0$

What is the Lie algebra of the ``indefinite orthogonal group''?

Reconstructing Lie group globally from the exponential map

Classification of irreducible representations via Casimirs

Definition of Verma modules

Outer automorphism of SLn

Advanced beginners textbook on Lie theory from a geometric viewpoint

Prerequisites to "Applications of Lie Groups to Differential Equations"

Maximal tori in Lie vs algebraic groups

Riemannian metrics on homogeneous spaces

Given a subspace $V$ of a metric Lie algebra, does $[[V, V], V] \subset V$ imply $[V, V] \subset V$?

Why do I care that smooth vector fields over a smooth manifold have a Lie algebra?

Differing definitions of Cartan subalgebras