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Meaning of $[A,B]$ when $A$ and $B$ are self-adjoint

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#matrices #notation #lie-algebras
581
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No Lie algebra over $\Bbb R$ or $\Bbb C$ can have a unit element.

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#lie-algebras
86
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Derivatives of solution to Schrödinger equation

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#calculus #ordinary-differential-equations #lie-groups #lie-algebras #mathematical-physics
96
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Local Lie derivative on $G$-space at the zero of a vector field

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#differential-geometry #lie-algebras #group-actions #invariant-theory #lie-derivative
701
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Adjoint representation

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#differential-geometry #terminology #differential-topology #lie-groups #lie-algebras
497
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Show that if $\Omega_1,\Omega_2$ are tangent vectors of curves in $SO(3)$ then $[\Omega_1,\Omega_2]\in\mathfrak{so}(3)$

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#differential-geometry #lie-groups #lie-algebras
388
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Lie Algebra $[v,0]=0=[0,v], \quad\forall v\in \mathfrak{g}$.

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#lie-algebras
209
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$\mathrm{Z}(\mathfrak{gl}(2,\Bbb F))$ where the Lie bracket is $[X,Y]=XY-YX$

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#matrices #group-theory #lie-algebras #finite-fields
187
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Solving a matrix differential equation

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#linear-algebra #ordinary-differential-equations #lie-groups #lie-algebras
49
Views

Clarification of Fulton and Harris root lattices

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#lie-algebras
751
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Is a formal deformation of a Lie algebra an example of a formal group law?

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#definition #lie-algebras #deformation-theory #formal-groups
323
Views

Subalgebras and Ideals of a Lie algebra

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#lie-algebras
1k
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Lie bracket; confusing proof from lecture

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#differential-geometry #differential-topology #lie-groups #lie-algebras #lie-derivative
49
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Lie algebra vector subspace: Does $[n_1,[n_2,Y]]=[n_1,A]=B$

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#lie-algebras
331
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Lie Algebra: Vector subspace is an ideal of its normalizer

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#lie-algebras

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