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How do I make sense of terms $X^j\partial_j(Y^i)$ in the Lie bracket of vector fields?

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#differential-geometry #lie-algebras #smooth-manifolds #lie-derivative
325
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When derivations are exactly homomorphisms?

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#lie-algebras
218
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Ideals in Lie algebras

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#ideals #lie-algebras
33
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Lie bracket on $\Gamma(TM\oplus (M\times \mathfrak{g}))$?

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#lie-algebras #vector-bundles
405
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2-dimensional derived subalgebra of 3-dimensional Lie algebra is abelian

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#lie-algebras
856
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How are groups with the same Lie Algebra inequivalent?

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#group-theory #lie-groups #lie-algebras
2k
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Generators of a semi simple lie algebra must be traceless

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#lie-groups #physics #lie-algebras #trace
51
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From Generators of Lie Groups to Representations

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#lie-algebras
519
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How does a Lie algebra act on a tensor product of L-modules?

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#modules #lie-algebras #tensor-products
65
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Representation of a Kac-Moody algebra

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#representation-theory #lie-algebras
1.3k
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Why are there no nonabelian Lie groups with dimension two?

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#lie-groups #lie-algebras
1.5k
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Fundamental representations of lie algebras

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#representation-theory #lie-algebras
832
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Tensor product of irreducible representations

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#abstract-algebra #representation-theory #lie-algebras
885
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Proving a 1 Dimensional Lie Algebra is Abelian

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#lie-groups #lie-algebras #abelian-groups
180
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Reflection transforms positive root into a positive root.

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#lie-groups #lie-algebras #root-systems

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