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15
19
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$(\mathfrak{g},K)$-Module where $K$ is a field?

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#modules #lie-groups #lie-algebras
82
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Jacobson-Morozov Theorem to Produce a One-Parameter Subgroup

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#representation-theory #lie-groups #lie-algebras
144
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Group action on convex cone

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#group-theory #lie-groups #lie-algebras #locally-compact-groups
43
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Relation between central and derived series in Lie algebras and Lie groups

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#lie-groups #lie-algebras
30
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Inhomogeneous Lie derivative equation on a Lie group

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#differential-geometry #partial-differential-equations #lie-groups #lie-algebras #homology-cohomology
67
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Determining the connected subgroups of a matrix (Lie) group

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#differential-geometry #lie-groups #lie-algebras
231
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Definition of Hamiltonian Action from Ana Cannas da Silva's book

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#lie-groups #lie-algebras #symplectic-geometry #moment-map
160
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Improve Lie algebra structure constant formula $f^{abc} f^{ade} \propto \delta^{b,d}\delta^{c,e}-\delta^{b,e}\delta^{c,d} + ...?$

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#abstract-algebra #lie-groups #lie-algebras #compact-manifolds
103
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Showing the injective map from $\mathfrak{g}$ to $U(\mathfrak{g})$.

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#lie-groups #lie-algebras
106
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Subgroups of solvable Lie groups are closed

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#lie-groups #lie-algebras
206
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Nilpotence criterion for solvable Lie algebras

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#lie-algebras
103
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If $\mathfrak{h}$ is a maximal ideal, then there exists a subalgebra $\mathfrak{l}$, such that $\mathfrak{g} = \mathfrak{h}\oplus\mathfrak{l}$

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#lie-groups #lie-algebras
79
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Lévy processes, Brownian motion and Lie groups

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#general-topology #lie-groups #lie-algebras #brownian-motion #levy-processes
215
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Derivations of $\frak{gl}_n(\mathbb{C})$

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#abstract-algebra #lie-algebras
72
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Simplify the differential form $d [ A, B]$

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#derivatives #differential-geometry #lie-algebras #noncommutative-algebra #noncommutative-geometry

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