Newbetuts

In what sense are complex representations of a real Lie algebra and complex representations of the complexified Lie algebra equivalent?

Subgroups of $\Bbb{R}^n$ that are closed and discrete

De Rham Cohomology of a Lie group

Why are the fundamental and anti-fundamental representation in $\text{SL}(2,\mathbb{C})$ not equivalent?

What is meant by the "functoriality of the adjoint representation"?

Is the matrix for the Killing form invertible for all semi-simple Lie algebras

Which matrices commute with $\operatorname{SO}_n$?

What is the Lie group smooth structure of quaternions?

What is the universal cover of SL(2,R)?

Euler characteristic expression in terms the number of fixed points of an $\mathbb{S}^1$ action

Clarification of notion of proper group action.

Faithful representation of the Heisenberg group

Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$

Conjugate Representations of Lie Algebra of Lorentz Group

Prove that $O(n)$ is a maximal compact subgroup of $GL(n,\mathbb R)$

Category of Lie group representations equivalent to the category of representations of their Lie algebra

Is there an explicit left invariant metric on the general linear group?

New posts in lie-groups

Example of a representation of $U(1)$ with $n>2$

Prove that $SL(2,\mathbb{R})$ acts transitively on the upper half plane

Image of Matrix Exponential Map

In what sense are complex representations of a real Lie algebra and complex representations of the complexified Lie algebra equivalent?

Subgroups of $\Bbb{R}^n$ that are closed and discrete

De Rham Cohomology of a Lie group

Why are the fundamental and anti-fundamental representation in $\text{SL}(2,\mathbb{C})$ not equivalent?

What is meant by the "functoriality of the adjoint representation"?

Is the matrix for the Killing form invertible for all semi-simple Lie algebras

Which matrices commute with $\operatorname{SO}_n$?

What is the Lie group smooth structure of quaternions?

What is the universal cover of SL(2,R)?

Euler characteristic expression in terms the number of fixed points of an $\mathbb{S}^1$ action

Clarification of notion of proper group action.

Faithful representation of the Heisenberg group

Automorphism group of a lie algebra as a lie subgroup of $GL(\frak g)$

Conjugate Representations of Lie Algebra of Lorentz Group

Prove that $O(n)$ is a maximal compact subgroup of $GL(n,\mathbb R)$

Category of Lie group representations equivalent to the category of representations of their Lie algebra

Is there an explicit left invariant metric on the general linear group?