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Levi Decomposition of a real Lie algebra with codimension two semisimple Lie subalgebra.

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#lie-algebras #semisimple-lie-algebras
46
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If G has a KAK decomposition then does TG have a KAK decomposition?

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#lie-groups #semisimple-lie-algebras
132
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Levi decomposition of connected Lie groups

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#lie-groups #lie-algebras #semisimple-lie-algebras
92
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Lie algebra and category theory

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#category-theory #lie-algebras #semisimple-lie-algebras
73
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How is the Zariski topology (?) being used in the proof of the KAN decomposition of a semisimple Lie group?

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#algebraic-geometry #lie-groups #zariski-topology #semisimple-lie-algebras
286
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A reductive lie algebra $L$ satisfies that $[L,L]$ is semisimple

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#lie-algebras #semisimple-lie-algebras #irreducible-representation
83
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The basis of special linear Lie algebras over finite fields

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#linear-algebra #lie-algebras #finite-fields #semisimple-lie-algebras
60
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Fulton & Harris Proof Clarification for Lemma D.6

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#proof-explanation #lie-algebras #nilpotence #semisimple-lie-algebras
243
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Representations of the symplectic Lie algebra $\mathfrak{sp}_{4}\mathbb C$

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#representation-theory #lie-groups #lie-algebras #semisimple-lie-algebras
108
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Is $\text{PSL}(2,\mathbb{R})$ a semisimple Lie group?

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#hyperbolic-geometry #semisimple-lie-algebras
82
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Adjoint action of $\mathrm{SL}_2$ on a Cartan subalgebra

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#abstract-algebra #lie-groups #lie-algebras #semisimple-lie-algebras
164
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Quadratic Casimir operators of $SO(5)$

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#representation-theory #lie-algebras #semisimple-lie-algebras
188
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Exponential map between $\mathfrak{so} (3)$ and $SO (3)$

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#lie-groups #lie-algebras #group-homomorphism #matrix-exponential #semisimple-lie-algebras
109
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Geometry of Semi-Simple Lie Groups

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#geometry #differential-geometry #lie-groups #lie-algebras #semisimple-lie-algebras

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