New posts in lie-groups

Right-invariance of a volume form on a compact Lie group

differential-geometry lie-groups riemannian-geometry

Orientation of left and right translations on a Lie Group

lie-groups smooth-manifolds orientation

Relations between center (fundamental group) and (co)root and weight lattices for Lie groups

representation-theory lie-groups lie-algebras fundamental-groups lattices-in-lie-groups

Differential of the multiplication and inverse maps on a Lie group

differential-geometry manifolds differential-topology lie-groups

Homotopy groups U(N) and SU(N): $\pi_m(U(N))=\pi_m(SU(N))$

algebraic-topology lie-groups homotopy-theory higher-homotopy-groups

Description of SU(1, 1)

lie-groups

Is every transitive action conformal?

differential-geometry riemannian-geometry lie-groups smooth-manifolds conformal-geometry

Quaternion–Spinor relationship?

representation-theory lie-groups rotations quaternions spin-geometry

What are applications of Lie groups/algebras in mathematics?

reference-request lie-groups lie-algebras smooth-manifolds

Can you give me an example of topological group which is not a Lie group.

abstract-algebra general-topology group-theory lie-groups topological-groups

deformation retract of $GL_n^{+}(\mathbb{R})$

algebraic-topology lie-groups

How do you find the Lie algebra of a Lie group (in practice)?

lie-groups lie-algebras

Is there a (deep) relationship between these various applications of the exponential function?

probability-theory exponential-function lie-groups fourier-series lie-algebras

Is there a non-matrix Lie group?

lie-groups

Best book to study Lie group theory

reference-request lie-groups self-learning

Precise connection between complexification of $\mathfrak{su}(2)$, $\mathfrak{so}(1,3)$ and $\mathfrak{sl}(2, \mathbb{C})$

group-theory lie-groups lie-algebras

Do local flows of left-invariant vector fields satisfy $\Phi_X^t\circ L_x=L_x\circ \Phi_X^t$?

differential-geometry lie-groups smooth-manifolds vector-fields

Fake Proof for Dimension of $SO(n)$ (rotations)?

solution-verification lie-groups rotations fake-proofs orthogonal-matrices

Prove that the commutator is a Lie bracket in $\mathrm{Lie}(G)$

matrices lie-groups lie-algebras

For real Lie algebras, is any invariant bilinear form a scalar multiple of the Killing form?

linear-algebra abstract-algebra lie-groups lie-algebras