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15
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$Tr((m+m^*)C) = 0 $ for every null trace $m$ implies $C = c \cdot I$

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#linear-algebra #lie-algebras
49
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Induced action from $SL$ to $\mathfrak sl$

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#linear-algebra #representation-theory #lie-groups #lie-algebras
153
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Isometry action $SO(3)\times SO(3)\to SO(3)$

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#lie-groups #lie-algebras
24
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Do $Ad_t(X)$ and $X$ commute?

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#lie-groups #lie-algebras
591
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how to define multivariete normal distribution on sphere

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#probability-distributions #lie-groups #normal-distribution #lie-algebras
707
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An exercise problem in Humphreys' "Lie algebra" book

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#representation-theory #lie-algebras
58
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action of an ismorphic tangent space

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#differential-geometry #definition #lie-groups #lie-algebras
494
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Root decomposition implies semisimple

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#lie-groups #lie-algebras #root-systems
37
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$F(r)$ self-normalizing in $\mathrm{gl}(F(r),F)$

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#abstract-algebra #field-theory #lie-algebras #extension-field
175
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If the derivative map at the identity is bijective, then all derivitive maps are bijective

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#manifolds #lie-groups #lie-algebras #tangent-bundle
74
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$\mathfrak{g}$-module structure on the tensor algebra $T(g)$

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#abstract-algebra #lie-groups #lie-algebras
439
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On the Chevalley-Eilenberg differential?

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#lie-algebras #homology-cohomology
34
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Embedding corresponding to a representation

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#representation-theory #lie-groups #lie-algebras
162
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How to find sub-algebras of $\mathfrak{su}(n,\mathbb{R})$?

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#lie-algebras
170
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Is $sl(n,C)$ itself an irreducible representation of $SL(n,C)$

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#representation-theory #lie-groups #lie-algebras

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