New posts in lie-algebras

Continuous homomorphisms of Lie groups are smooth

differential-geometry continuity lie-groups lie-algebras smooth-manifolds

What is the relationship between semisimple lie algebras and semisimple elements?

Is $\mathfrak{so}_{\mathbb{R}}(p,q)$ semisimple? [duplicate]

abstract-algebra lie-groups lie-algebras orthogonal-matrices simple-groups

Weyl's theorem over non-algebraically closed fields

reference-request representation-theory lie-algebras semisimple-lie-algebras

Derivations on semisimple Lie algebra

differential-geometry lie-algebras semisimple-lie-algebras

Adjoint map is Lie homomorphism

How does one define weights for a semisimple Lie group?

representation-theory lie-groups lie-algebras

Is the complexification of $\mathfrak{sl}(n, \mathbb{C})$ itself?

vector-spaces lie-groups lie-algebras

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

linear-algebra lie-algebras

Why restrict to complex Lie algebras?

manifolds lie-groups lie-algebras complex-manifolds

Associative Lie algebra [duplicate]

What is the relationship between the representations of ${\frak sl}(2;\Bbb C)$ when viewed as real Lie algebra or complex Lie algebra?

representation-theory lie-groups lie-algebras

Radical of a quotient Lie algebra

abstract-algebra lie-groups lie-algebras

A simple algebra that is not semisimple [duplicate]

abstract-algebra representation-theory lie-algebras noncommutative-algebra

On the relationship between the commutators of a Lie group and its Lie algebra

abstract-algebra group-theory lie-algebras

Proof that Lie group with finite centre is compact if and only if its Killing form is negative definite

representation-theory lie-groups lie-algebras

Is it true that the commutators of the gamma matrices form a representation of the Lie algebra of the Lorentz group?

Non-Abelian subgroups and invariants in a unitary group 2

group-theory finite-groups representation-theory lie-groups lie-algebras

Subgroups and invariants in a unitary group U(3)

group-theory finite-groups representation-theory lie-groups lie-algebras

if $x$ and $y$ commute with $[x y]$, then $[x y]$ is nilpotent

linear-algebra lie-algebras