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15
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Complexification of $\mathfrak{so}(p,q)$

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#abstract-algebra #lie-groups #lie-algebras
83
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Category Theoretic Proof that $Lie(GL(n, \mathbb{C}))$ is isomorphic in the category of Lie Algebras to $\mathfrak{gl}(n,\mathbb{C})$

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#category-theory #lie-algebras
53
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Can $\mathfrak{so}(3,1) \sim \mathfrak{sl}_2(\mathbb{C})$ be supersymmetrized?

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#abstract-algebra #lie-algebras #superalgebra
324
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abelian lie algebras of the same dimension are isomorphic

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#abstract-algebra #lie-algebras
617
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Semisimple Lie algebra and Jacobson radical

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#abstract-algebra #representation-theory #lie-algebras #semisimple-lie-algebras
132
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centre of a non-abelian 2-dimensional Lie algebra

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#abstract-algebra #lie-algebras
199
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Proof that a set of matrices form a group. Is it a Lie group? Calculate the generators

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#linear-algebra #group-theory #lie-groups #lie-algebras #abelian-groups
78
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linear independency of basis elements of the Heisenberg Algebra

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#linear-algebra #abstract-algebra #lie-algebras #heisenberg-group
598
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How to calculate the dimension of the Lie algebra associated with the complex Lorentz group? Calculate the generators associated with the Lie algebra

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#group-theory #lie-groups #lie-algebras #matrix-equations #matrix-rank
257
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Why define Chevalley groups over $\mathbb{Z}$

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#lie-groups #lie-algebras #semisimple-lie-algebras
108
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weyl group element and subtorus

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#lie-groups #lie-algebras
152
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Relation between commutator map of Lie Group and Lie Algebra

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#multivariable-calculus #differential-geometry #lie-groups #lie-algebras
251
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Lie algebras which are closed under the conjugate transpose are reductive

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#proof-explanation #lie-algebras #semisimple-lie-algebras
57
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Question about Lemma 5.2.1 McDuff/Salamon Symplectic Topology

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#differential-topology #lie-algebras
94
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What's the distinction between an algebra and a Lie algebra?

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#abstract-algebra #lie-algebras #algebras

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