New posts in lie-groups

Homogeneous space and nice manifolds

differential-geometry lie-groups quotient-spaces homogeneous-spaces

Universal Covering Group of $SO(1,3)^{\uparrow}$

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

Uniqueness of bi-invariant metrics on Lie groups?

lie-groups riemannian-geometry

A covering map from a differentiable manifold

differential-topology lie-groups lie-algebras

Is a faithful representation of the orthogonal group on a vector space equivalent to a choice of inner product?

linear-algebra group-theory representation-theory lie-groups

$S^2=SO(3)/SO(2)$. Does this mean that $S^2 = SU(2)/U(1) $?

differential-geometry algebraic-topology lie-groups

How to see that SL(2,C) is simply connected?

algebraic-topology lie-groups smooth-manifolds

Lie Groups/Lie algebras to algebraic groups

representation-theory lie-groups lie-algebras algebraic-groups

Expression of unitary group , the discrete subgroups and invariants

abstract-algebra algebraic-topology finite-groups lie-groups lie-algebras

Tangent space of quotient space

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

Homology and Euler characteristics of the classical Lie groups

algebraic-topology lie-groups

Why does exponentiating the derivative yield the shift operator?

calculus operator-theory lie-groups lie-algebras operator-algebras

Exponential maps of $\mathbb{R}^n$ and $T^n$

manifolds lie-groups lie-algebras

Is there an infinite dimensional Lie group associated to the Lie algebra of all vector fields on a manifold?

differential-geometry manifolds differential-topology lie-groups lie-algebras

What is the dimension of this Grassmannian?

linear-algebra matrices algebraic-geometry differential-geometry lie-groups

How many group structures make $S^1$ a topological group?

group-theory lie-groups topological-groups locally-compact-groups

Name and layperson's explanation for an E8 group diagram.

group-theory lie-groups lie-algebras

Prove that the manifold $SO(n)$ is connected

general-topology lie-groups connectedness

Holonomy of Lie groups

differential-geometry lie-groups riemannian-geometry holonomy

Non surjectivity of the exponential map to GL(2,R)

linear-algebra differential-geometry lie-groups