List questions from lie-algebras

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duality for (co)homology of Lie algebras

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What is a simple lie algebra?

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Prove that $e^{t(X+Y)}=e^{tX} e^{tY}$ implies $[X,Y]=0$

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$\operatorname{span}\{AB-BA : A, B \in M_n(\Bbb R)\}$ is the set of all matrices with trace $0$

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An alternative proof for the units of $U_q(\mathfrak{sl}_2)$ using Ore extensions.

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Partial derivatives on Manifolds

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Differential in Lie groups

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What is the natural action of $\mathfrak{sl}(4,\Bbb{C})$ on $\wedge^2 \Bbb{C}^4$?

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on special Kähler manifolds

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557

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General differentials operators (Grothendieck definition) and polynomial rings

Published on 19 Oct 2014 - 17:22

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Exponentials of Representations of Lie Algebras

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290

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Straight forward derivation of the bch formula?

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157

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What is $\Delta(1)$ for $1$ in $U(\mathfrak{g})$?

Published on 25 Mar 2026 - 16:01

73

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$Hom_G(\pi,\sigma)$ = $Hom_{\mathfrak{g}}(d\pi,d\sigma)$?

Published on 02 Apr 2026 - 14:35

List Question

Lie algebras and the Killing form.

duality for (co)homology of Lie algebras

What is a simple lie algebra?

Prove that $e^{t(X+Y)}=e^{tX} e^{tY}$ implies $[X,Y]=0$

$\operatorname{span}\{AB-BA : A, B \in M_n(\Bbb R)\}$ is the set of all matrices with trace $0$

An alternative proof for the units of $U_q(\mathfrak{sl}_2)$ using Ore extensions.

Partial derivatives on Manifolds

Differential in Lie groups

What is the natural action of $\mathfrak{sl}(4,\Bbb{C})$ on $\wedge^2 \Bbb{C}^4$?

on special Kähler manifolds

General differentials operators (Grothendieck definition) and polynomial rings

Exponentials of Representations of Lie Algebras

Straight forward derivation of the bch formula?

What is $\Delta(1)$ for $1$ in $U(\mathfrak{g})$?

$Hom_G(\pi,\sigma)$ = $Hom_{\mathfrak{g}}(d\pi,d\sigma)$?

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