New posts in lie-groups

Quotient of $ S^3 \times S^3$ by a free torus action.

differential-geometry algebraic-topology lie-groups riemannian-geometry

Sections of associated bundles

differential-geometry manifolds lie-groups principal-bundles

Smoothness of a G-invariant K-form

lie-groups smooth-manifolds differential-forms group-actions

The mathematics behind Clebsch-Gordan Coefficients

representation-theory physics lie-groups lie-algebras

Orbit-stabilizer theorem for Lie groups?

linear-algebra group-theory algebraic-geometry lie-groups

Spinor Mapping is Surjective

matrices representation-theory lie-groups lie-algebras spin-geometry

Proof that $U(n)$ is connected

general-topology group-theory matrices lie-groups connectedness

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

Do these higher-dimensional analogues of Möbius transformations have a name?

reference-request linear-algebra lie-groups

The diffential of commutator map in a Lie group

differential-geometry derivatives lie-groups lie-algebras

What are the one-parameter subgroups of GL?

abstract-algebra group-theory matrices reference-request lie-groups

Correspondence of representation theory between $\mathrm{GL}_n(\mathbb C)$ and $\mathrm U_n(\mathbb C)$

representation-theory lie-groups branching-rules

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

Ergodic action of a group

measure-theory lie-groups ergodic-theory group-actions

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

Can $(\Bbb{R}^2,+)$ be given the structure of a matrix Lie group?

representation-theory lie-groups