New posts in lie-groups

Why is the dimension of $SL(2,\mathbb{H})$ equal to $15$?

reference-request lie-groups quaternions

How do the infinitesimal generators generate the whole compact Lie group?

group-theory lie-groups

Distinction between Lie Algebra of differentiable manifolds and Lie Algebra of Lie Group

manifolds lie-groups lie-algebras smooth-manifolds vector-fields

What is symplectic geometry? [closed]

linear-algebra lie-groups classical-mechanics symplectic-geometry symplectic-linear-algebra

References on Linear Algebraic Groups/Lie Theory

reference-request lie-groups lie-algebras big-list algebraic-groups

Is there a way to associate a Lie algebra to the group of diffeomorphisms?

differential-geometry lie-groups lie-algebras smooth-manifolds

Projectivization and stereographic projection, or: Why nonlinear + nonlinear = linear?

lie-groups projective-geometry mobius-transformation stereographic-projections exceptional-isomorphisms

The action of SU(2) on the Riemann sphere

complex-analysis lie-groups

Is the universal cover of an algebraic group an algebraic group?

algebraic-geometry algebraic-groups lie-groups

Finite normal subgroups of $\operatorname{SU}(n)$

group-theory finite-groups lie-groups normal-subgroups

Lie algebra $\mathfrak{sl}_2 \mathbb{C}$ has only these two real forms $\mathfrak{sl}_2 \mathbb{R}$ and $\mathfrak{su}_2$?

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

Are adjoint representation matrices the generators of the Adjoint representation?

matrices manifolds lie-groups lie-algebras smooth-manifolds

What is the main use of Lie brackets in the Lie algebra of a Lie group?

lie-groups lie-algebras

Finding the orbits of $SL(n+1)$ and a parabolic subgroup $P$ in a representation?

representation-theory lie-groups homogeneous-spaces cartan-geometry

Is the exponential map ever not injective?

lie-groups lie-algebras

Osp, USp, SU(,) and PSU

reference-request representation-theory lie-groups lie-algebras

Finding the dimension of the symplectic group

group-theory lie-groups

Does a simple subalgebra have to be an ideal of the larger algebra?

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

Is the adjoint representation of the unitary group irreducible?

representation-theory lie-groups lie-algebras unitary-matrices

Why a map is equivariant if and only if it is equivariant in the infinitesimal version?

differential-geometry lie-groups group-actions