New posts in lie-groups

How to "find" this Lie algebra: proof that $\mathfrak{sl}$ is trace zero matrices [duplicate]

lie-groups lie-algebras

What is the significance of the $\mathbb Z_2 \times \mathbb Z_2$ subgroup of $SO(3)$?

group-theory lie-groups lie-algebras group-cohomology

Visualizing Lie groups.

lie-groups lie-algebras

Is the fundamental group of a path connected Lie group generated by one parameter groups

algebraic-topology lie-groups

Prove that $U(n)$ is a manifold

differential-geometry lie-groups smooth-manifolds

Show that $\mathrm{SO}_3(\mathbb{Q}_p) \simeq \mathrm{SL}_2(\mathbb{Q}_p) $

lie-groups finite-fields rotations p-adic-number-theory

The special orthogonal group is a manifold

general-topology manifolds lie-groups topological-groups

Learning Roadmap for Borel - Weil - Bott Theorem

algebraic-geometry reference-request representation-theory lie-groups

Why are Lie algebras "rigid" objects?

abstract-algebra soft-question lie-groups lie-algebras

Why Bruhat decomposition in $GL_n$ case is the Gauss decomposition?

linear-algebra representation-theory lie-groups algebraic-groups

(non?)-surjectivity of the exponential map to $SL(2,\mathbb{C})$

lie-groups

Why is $Sp(2m)$ as regular set of $f(A)=A^tJA-J$, and, hence a Lie group.

lie-groups symplectic-geometry

How to prove that a left-invariant metric on a Lie group is smooth?

differential-topology lie-groups riemannian-geometry smooth-manifolds smooth-functions

Haar measure of SU(2): Align to the z-direction for class functions

integration group-theory lie-groups haar-measure

Symmetric powers and alternating powers are irreducible modules over the general linear Lie algebra $\mathfrak{gl}(n)$

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

Is every complex Lie algebra a complexification?

linear-algebra lie-groups lie-algebras

Example of two-dimensional non-abelian Lie algebra? [closed]

lie-groups lie-algebras examples-counterexamples

What are the length of the longest element in a Coexter group for every type?

group-theory lie-groups

Integral of a function of a matrix coefficient of an orthogonal matrix. [closed]

integration representation-theory lie-groups

Computing the Lie bracket on the Lie group $GL(n, \mathbb{R})$

differential-geometry lie-groups lie-algebras vector-fields