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15
259
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Lie-algebra-valued one-forms evaluated at a specific point

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#differential-geometry #lie-algebras #differential-forms #principal-bundles
293
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What is the Lie algebra of $O(n)$?

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#lie-groups #lie-algebras
71
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Are we guaranteed a Lie group by taking the algebraic closure of finitely many one-parameter groups acting (each periodically) on a Euclidean space?

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#manifolds #lie-groups #lie-algebras
46
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Does the lie algebra know which lie group elements will commute?

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#lie-groups #lie-algebras
430
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How can a vector field act on a Lie Algebra element?

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#differential-geometry #lie-algebras #vector-fields #tangent-bundle #tangent-spaces
95
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A generalization of the alternating property of a Lie bracket

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#lie-algebras #homological-algebra
157
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If complex matrices $A$, $B$, $AB-BA$ are nilpotent, show that $A+B$ is nilpotent.

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#linear-algebra #matrices #lie-algebras #nilpotence
115
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Homomorphic Image of ideal in Lie algebras

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#abstract-algebra #lie-algebras #group-homomorphism #maximal-and-prime-ideals #vector-space-isomorphism
756
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Determine the lie algebra of the subgroup of SO(4)

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#differential-geometry #lie-groups #lie-algebras
46
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Is semi-simple Lie algebra $L$, satisfy $ L\in{\rm Max}-\triangleleft$?

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#abstract-algebra #lie-algebras #semisimple-lie-algebras
593
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Inner automorphisms of a lie algebra

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#lie-algebras
204
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Center of of a subalgebra of a lie algebra: Under what conditions is $Z(\mathfrak{h})=Z(\mathfrak{g})\cap \mathfrak{h}$

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#abstract-algebra #lie-algebras #semisimple-lie-algebras
121
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Anti-symmetric representation of $SO(2n)$ to $SU( n)$

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#abstract-algebra #group-theory #representation-theory #lie-groups #lie-algebras
35
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Invariance of a measure under a one-parameter subgroup.

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#lie-groups #lie-algebras
158
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Jordan–Chevalley decomposition, how to think about semisimple elements

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#linear-algebra #abstract-algebra #lie-algebras

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