New posts in lie-groups

How is the automorphism group of a Lie group given a differential structure?

group-theory differential-geometry manifolds lie-groups lie-algebras

Maurer-Cartan 1-form

matrices differential-geometry lie-groups differential-forms

Reciprocity for branching rules of $\mathrm{GL}_n(\mathbb C)$

representation-theory lie-groups branching-rules

Coordinate free proof that det is algebraic

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

Does projectivizing always fix problems at infinity? (Or, am I making a mistake somewhere?)

differential-geometry lie-groups projective-space

Representation theory of $SO(n)$

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

why is $S^2$ not a Lie group?

lie-groups

What does the logarithm of the identity look like on a Lie group?

lie-groups lie-algebras

What changes in the representation theory of real Lie algebras?

representation-theory lie-groups lie-algebras

Spin group Spin(4,1)

group-theory reference-request lie-groups lie-algebras

If the Lie algebra is a direct sum, then the Lie group is a direct product?

lie-groups lie-algebras

Finding the lie algebra of the symplectic lie group

lie-groups lie-algebras symplectic-geometry

Centralizer of one element on a compact connected Lie group

differential-geometry representation-theory lie-groups

Special conformal killing fields - solving for integral curves.

ordinary-differential-equations differential-geometry lie-groups lie-algebras

If a complex Lie group has the structure of an algebraic group, is this structure unique?

lie-groups complex-geometry algebraic-groups

Homotopy groups O(N) and SO(N): $\pi_m(O(N))$ v.s. $\pi_m(SO(N))$

algebraic-topology lie-groups homotopy-theory higher-homotopy-groups

Does every irreducible representation of a compact group occur in tensor products of a faithful representation (and its dual)?

representation-theory lie-groups

Some questions about representations of $SO(6)$

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

Embedd SU(n) into an enlarged twisted Spin(2n) in terms of Lie groups precisely

representation-theory manifolds lie-groups quotient-spaces homogeneous-spaces

Attempted proof of an open mapping theorem for Lie groups

proof-verification reference-request lie-groups open-map