List questions from lie-groups

Published on 10 May 2026 - 15:37

101

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Constructing a cut-off function that goes to 0 at infinity

Published on 15 Apr 2026 - 9:27

303

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Difference between the Lie groups $O(2,2)$ and $O(2)\times O(2)$

Published on 17 Apr 2026 - 9:45

4.1k

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What is the relation between representations of Lie Groups and Lie Algebras?

Published on 26 Mar 2026 - 12:36

33

Views

explicit isomorphism between SO_n defined by two different forms

Published on 14 Apr 2026 - 13:04

731

Views

Proof of tracelessness of $\mathfrak{su}(n)$ generators

Published on 08 Apr 2026 - 20:58

313

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What is the significance of the $\mathbb Z_2 \times \mathbb Z_2$ subgroup of $SO(3)$?

Published on 13 Apr 2026 - 13:35

3.5k

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Haar measure and SU(2)

Published on 27 Mar 2026 - 0:09

1.2k

Views

Is there a canonical metric for a Lie group manifold?

Published on 14 Apr 2026 - 12:17

477

Views

Given a matrix in $SO(4)$, how to find coefficients in basis of Lie algebra?

Published on 11 Apr 2026 - 5:37

272

Views

Is every complex semisimple Lie algebra associated to a complex semisimple algebraic group?

Published on 16 Apr 2026 - 2:46

35

Views

Why $\forall U \in SU(2), \exists U_R, \theta ~ /~ U=U_R U_z(\theta) U_R^{-1}$

Published on 15 Apr 2026 - 0:28

155

Views

A corollary of proper action?

Published on 14 Apr 2026 - 16:04

1.1k

Views

Integral over unitary group: show that $\int_{U(N)} dU\, U_{ij}U_{kl}^\dagger=\frac{1}{N}\delta_{il}\delta_{jk}$

Published on 27 Mar 2026 - 0:10

141

Views

A question on closed subgroups of $U(2)$

Published on 14 Apr 2026 - 0:02

List Question

Definition of a continuous group homomorphism

Constructing a cut-off function that goes to 0 at infinity

Difference between the Lie groups $O(2,2)$ and $O(2)\times O(2)$

What is the relation between representations of Lie Groups and Lie Algebras?

explicit isomorphism between SO_n defined by two different forms

Proof of tracelessness of $\mathfrak{su}(n)$ generators

What is the significance of the $\mathbb Z_2 \times \mathbb Z_2$ subgroup of $SO(3)$?

Haar measure and SU(2)

Is there a canonical metric for a Lie group manifold?

Given a matrix in $SO(4)$, how to find coefficients in basis of Lie algebra?

Is every complex semisimple Lie algebra associated to a complex semisimple algebraic group?

Why $\forall U \in SU(2), \exists U_R, \theta ~ /~ U=U_R U_z(\theta) U_R^{-1}$

A corollary of proper action?

Integral over unitary group: show that $\int_{U(N)} dU\, U_{ij}U_{kl}^\dagger=\frac{1}{N}\delta_{il}\delta_{jk}$

A question on closed subgroups of $U(2)$

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