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user17945
  • Member for 11 years, 10 months
  • Last seen this week
14 votes
Accepted

Describing the Lie algebra structure of a semi-direct product of Lie groups

11 votes
Accepted

Prove that the pullback $F^* g$ of a Riemannian metric $g$ is a Riemannian metric iff $F$ is a smooth immersion

6 votes

Nice examples of groups which are not obviously groups

6 votes

When does the Lie Derivative coincides with the Covariant Derivative?

5 votes
Accepted

Question regarding reduction of structure group

5 votes
Accepted

Poisson bracket of function of coordinates in terms of canonical brackets

5 votes
Accepted

Decomposing representation of $sl(3,\mathbb{C})$ into direct sum of irreducibles

4 votes
Accepted

Why is the conjugate momentum $p(x,x')=\partial_2 L(x,x')$ an element of the cotangent space?

4 votes
Accepted

Evaluating the Lie derivative of a tensor

4 votes
Accepted

Decomposition of the Delta Function on a Lie group in terms of irreps

3 votes

Question on Schur's first lemma

3 votes
Accepted

Question about Nijenhuis tensor

3 votes
Accepted

Compact form of $\mathfrak{su}(2)$

3 votes
Accepted

Coordinate-free definition of the symplectic form on the cotangent bundle

3 votes
Accepted

Getting back group action on manifold from Lie algebra homomorphism

3 votes

Push-forward of exponential map

3 votes
Accepted

Prove that 2-form in $\mathbb{R}^3$ $\omega=z d x \wedge d y$ restricted to $z = 1+x^2+y^2$ is not exact

3 votes

Applications of symplectic geometry in industry

3 votes

When does the gauge potential vanish?

3 votes
Accepted

What is the explicit central extension given by the prequantization procedure (from functions on phase space to vector fields)?

3 votes
Accepted

Two representations of a finite group have no irreps in common if and only if their characters are orthogonal.

3 votes

irreducible representation of $GL(V,\mathbb{C}) $ on the symmetric subspace of $V\otimes V $

3 votes
Accepted

Calculating the Lie bracket on the Heisenberg algebra of $H=Z\times S^1$

3 votes
Accepted

Showing there is a symplectomorphism of $(T^{*} M, \omega_{T^{*}M})$ satisfying this property

2 votes
Accepted

Connection 1-form on associated principal bundle

2 votes
Accepted

Transform differential equation on Lie group to differential equation on representation of the Lie group

2 votes
Accepted

Integral of Poisson Bracket vanishes

2 votes
Accepted

Frame bundle is parallelizable - Kobayashi

2 votes
Accepted

Computing Lie algebra of semidirect product

2 votes
Accepted

Prove that, for vector fields, $[X,Y]=0$ implies $[X,[Y,Z]]=0$ for all $Z$