New posts in lie-algebras

Lie algebra of R^n

differential-geometry lie-groups lie-algebras

How to derive the general formula for the Killing form for classical Lie algebras?

representation-theory lie-groups lie-algebras

Matrix Exponential does not map open balls to open balls?

lie-groups lie-algebras

Why is a root system called a "root" system?

representation-theory terminology lie-algebras root-systems semisimple-lie-algebras

The diffential of commutator map in a Lie group

differential-geometry derivatives lie-groups lie-algebras

How does the lie algebra capture compactness of the lie group?

soft-question lie-groups lie-algebras noncommutative-algebra

In a metric Lie algebra, is the orthogonal complement of a Lie subalgebra a Lie subalgebra?

abstract-algebra lie-groups lie-algebras bilinear-form

Does non-commuting $\mathfrak{g}$ imply non-abelian $G$?

lie-groups lie-algebras

Why do we require that a simple Lie algebra be non-abelian?

soft-question lie-groups lie-algebras

What is meant by "tangent space at identity of a Lie group is canonically isomorphic to its Lie algebra"?

lie-groups lie-algebras

Understanding Serre-Chevalley relations

abstract-algebra representation-theory lie-groups lie-algebras

The root system of $sl(3,\mathbb C)$

abstract-algebra matrices lie-algebras

Sum of nilpotent ideals in a Lie algebra is nilpotent

lie-algebras

Length of root strings is at most 4

lie-algebras root-systems

Finding the basis of $\mathfrak{so}(2,2)$ (Lie-Algebra of $SO(2,2)$)

matrices lie-groups lie-algebras matrix-equations

Associated Lie algebras of p-groups of maximal class

lie-algebras p-groups

Induced metric via $\mathbb C P^n \cong SU(n + 1)/S(U(n) \times U(1))$

differential-geometry lie-groups lie-algebras

Prove $\dfrac{d}{dt} \bigg|_{t=0}\varphi^Y_{-\sqrt{t}} \circ \varphi^X_{-\sqrt{t}} \circ \varphi^Y_{\sqrt{t}} \circ \varphi^X_{\sqrt{t}}=[X,Y](p)$ [duplicate]

differential-geometry vector-analysis lie-algebras

Does $[\mathfrak{h},[\mathfrak{h},\mathfrak{h}]]=0$ imply $[\mathfrak{h},\mathfrak{h}]=0$?

linear-algebra abstract-algebra differential-geometry lie-groups lie-algebras

Examples of derivation of Lie algebras

lie-algebras