New posts in lie-groups

Quotient of $S^3\times S^3$ by an action of $S^1$

differential-geometry lie-groups geometric-topology hopf-fibration

Visualizing the fundamental group of SO(3)

algebraic-topology lie-groups

Is the determinant the "only" group homomorphism from $\mathrm{GL}_n(\mathbb R)$ to $\mathbb R^\times$?

linear-algebra group-theory lie-groups

Exponential map is surjective for compact connected Lie group

differential-geometry lie-groups lie-algebras topological-groups

Jacobian matrix of the Rodrigues' formula (exponential map)

lie-groups rotations rigid-transformation

Irreducible representations of Poincaré group

reference-request representation-theory lie-groups

Meaning of Exponential map

differential-geometry lie-groups lie-algebras

How to evaluate the derivatives of matrix inverse?

linear-algebra differential-geometry lie-groups

$ S^2 \times R $ geometry

lie-groups smooth-manifolds 3d geometric-topology homogeneous-spaces

About connected Lie Groups

general-topology differential-geometry lie-groups topological-groups

$\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$

group-theory algebraic-topology lie-groups continuous-homomorphisms

What is a Lie Group in layman's terms?

lie-groups

Two Definitions of the Special Orthogonal Lie Algebra

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

Getting started with Lie Groups

reference-request lie-groups lie-algebras book-recommendation online-resources

Let $G$ be a Lie group. Show that there is a diffeomorphism $TG \cong G \times T_e G$.

differential-topology lie-groups

Prove that the map $\phi:S^3\times S^3\to{\bf GL}(4,\Bbb R)$ defined via quaternions as$\phi(p,q)(v)=pvq^{-1}$ has image ${\bf SO}(4)$

abstract-algebra differential-geometry lie-groups quaternions group-actions

Can every manifold be turned into a Lie group?

manifolds lie-groups smooth-manifolds

What are the possible two-dimensional Lie algebras?

lie-groups lie-algebras

What are defining & fundamental representations?

representation-theory terminology lie-groups lie-algebras mathematical-physics

Which Lie groups have Lie algebras admitting an Ad-invariant inner product?

reference-request lie-groups lie-algebras