New posts in lie-groups

What is meant by "tangent space at identity of a Lie group is canonically isomorphic to its Lie algebra"?

lie-groups lie-algebras

Understanding Serre-Chevalley relations

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

Is the symmetry group of a compact subset of $\mathbb{R}^n$ closed?

lie-groups group-actions topological-groups symmetry isometry

Is the $G$-action on a principal $G$-bundle proper?

differential-topology lie-groups principal-bundles

Unique manifold structure on a group

Is $O(2)$ really not isomorphic to $SO(2)\times \{-1,1\}$?

Finding the basis of $\mathfrak{so}(2,2)$ (Lie-Algebra of $SO(2,2)$)

matrices lie-groups lie-algebras matrix-equations

Space form structure for non orientable surfaces

differential-geometry differential-topology lie-groups riemannian-geometry symmetric-spaces

Induced metric via $\mathbb C P^n \cong SU(n + 1)/S(U(n) \times U(1))$

differential-geometry lie-groups lie-algebras

Does $[\mathfrak{h},[\mathfrak{h},\mathfrak{h}]]=0$ imply $[\mathfrak{h},\mathfrak{h}]=0$?

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

Does every even-dimensional Lie group admit a complex structure?

differential-geometry lie-groups complex-geometry

What is the advantage of defining Lie Algebras by left-invariant vector fields of a Lie Group?

group-theory representation-theory manifolds lie-groups lie-algebras

Different definitions for semisimple Lie group

Good book for studying $S_\infty$.

reference-request algebraic-topology lie-groups topological-groups

Does a glass of water sing because of the SO(2) symmetry?

real-analysis functional-analysis soft-question representation-theory lie-groups

Calculating the Lie algebra of $SO(2,1)$

differential-geometry lie-groups lie-algebras

Is Seifert-Weber space homogeneous for a Lie group?

manifolds lie-groups geometric-topology homogeneous-spaces

Dimension of isometry group of complete connected Riemannian manifold

lie-groups riemannian-geometry

$\operatorname{SO}(n)$ is an (abstractly) maximal subgroup of $\operatorname{SL}(n)$

linear-algebra group-theory geometry lie-groups

Quadratic P.S.D. differential operator that is invariant under $\textrm{SL}(2, \mathbb{R})$

functional-analysis differential-geometry lie-groups differential-operators invariance