List questions from lie-groups

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Weyl's unitarity trick

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Antisymmetric powers of $SO(n)$ representation.

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Geometric difference between two actions of $GL_n(\mathbb{C})$ on $G\times \mathfrak{g}^*$

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Understanding quotients $\mu^{-1}(0)/G$

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$SU(2)$ subgroups of $SU(3)$: Is my reasoning correct?

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Calculation of |[X,Y]^V|

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The classification of irreducible representations of finite and compact Lie groups over $\mathbb{C}$

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Can $(\Bbb{R}^2,+)$ be given the structure of a matrix Lie group?

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Connectedness of a Lie group

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any element of open neighborhood of $e$ a connected lie group can be written as

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What is an example of a vector field that is not left-invariant?

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$so(4)=su(2)× su(2)$

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Lie algebra of a Lie subgroup

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Kernel of adjoint of Lie algebra

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List Question

Why is $U(n,n)= GL(2n, \mathbb{C}) \cap O(2n,2n)$?

Weyl's unitarity trick

Antisymmetric powers of $SO(n)$ representation.

Geometric difference between two actions of $GL_n(\mathbb{C})$ on $G\times \mathfrak{g}^*$

Understanding quotients $\mu^{-1}(0)/G$

$SU(2)$ subgroups of $SU(3)$: Is my reasoning correct?

Calculation of |[X,Y]^V|

The classification of irreducible representations of finite and compact Lie groups over $\mathbb{C}$

Can $(\Bbb{R}^2,+)$ be given the structure of a matrix Lie group?

Connectedness of a Lie group

any element of open neighborhood of $e$ a connected lie group can be written as

What is an example of a vector field that is not left-invariant?

$so(4)=su(2)× su(2)$

Lie algebra of a Lie subgroup

Kernel of adjoint of Lie algebra

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