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Non-nilpotent and not semisimple algebra with maximal toral subalgebra = 0

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#lie-algebras
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Are surjective Lie group homomorphisms which induce isomorphisms of Lie algebras covering maps?

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#lie-groups #lie-algebras
118
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Solvable Lie algebra with non-characteristic nilradical

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#lie-algebras
436
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What can we say about $\operatorname{Aut}(G)$ for an arbitrary Lie group $G$?

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#lie-groups #lie-algebras
629
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Equivalent definitions of a root system.

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#abstract-algebra #modules #lie-algebras #root-systems
639
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Why do we require that a simple Lie algebra be non-abelian?

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#soft-question #lie-groups #lie-algebras
388
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Why do Clifford bivectors represent the orthogonal Lie algebra?

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#linear-algebra #lie-algebras #clifford-algebras
431
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Matrix representation of Heisenberg group

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#group-theory #lie-groups #lie-algebras #harmonic-analysis
1.2k
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Verifying the Jacobi identity for the semidirect product of Lie algebras

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#abstract-algebra #lie-algebras #semidirect-product
846
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Cartan subalgebra and the decomposition of eigenspaces

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#lie-algebras
99
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Existence of Lie algebra with dim =3 or ≥ 5 with [g,g]=g

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#lie-algebras
957
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The category of Lie algebra representations

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#category-theory #representation-theory #lie-algebras
33
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One-dimensional L-submodules

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#representation-theory #lie-algebras
131
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Unitary dual of $\{0\}$ and $\mathbb R$

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#representation-theory #lie-groups #lie-algebras #harmonic-analysis
201
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Lie group of differential operators

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#operator-theory #lie-groups #lie-algebras #differential-operators #lie-derivative

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