List questions from lie-groups

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$Z(\mathfrak{g})$ equals Lie algebra of $Z(G)$?

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Relation between $SU(4)$ and $SO(6)$

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What's a good place to learn Lie groups?

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Local Isomorphism on Topological Groups

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Fraction of SO(3) within an angle

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In Heisenberg's group, why if $e^{tX}$ is upper triangular, then $X$ is strictly upper triangular?

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List Question

References on Linear Algebraic Groups/Lie Theory

Generating function for characters of representations

Image of Matrix Exponential Map

Normal Subgroups of Lie groups

$Z(\mathfrak{g})$ equals Lie algebra of $Z(G)$?

Relation between $SU(4)$ and $SO(6)$

Are there any good ways to see the universal cover of $GL^{+}(2,\mathbb{R})$?

How to write down the pull back of a differential form by exponential map?

What's a good place to learn Lie groups?

Local Isomorphism on Topological Groups

How do evaluate the trace of a member in $SU(n)$?

Local Isomorphism on Lie Groups II

Fraction of SO(3) within an angle

Why is positivity of first entry sufficient for a matrix in $\mathrm{SO}(1,3)$ to be in $\mathrm{SO}^{+}(1,3)$?

In Heisenberg's group, why if $e^{tX}$ is upper triangular, then $X$ is strictly upper triangular?

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