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Lie Algebra as a commutative Lie Group

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#differential-geometry #lie-groups #lie-algebras
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Representations and conformal weights for a Kac Moody algebra

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#reference-request #representation-theory #lie-algebras #mathematical-physics #conformal-field-theory
75
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Variable Christoffel symbol to structure constants

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#differential-geometry #riemannian-geometry #lie-groups #lie-algebras
227
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Unitarity of a representation in the physics literature (in particular in CFT)

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#representation-theory #lie-algebras #mathematical-physics #string-theory #conformal-field-theory
38
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Casimirs of Lie Algebras

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#group-theory #lie-groups #lie-algebras
758
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How to show a Verma module is irreducible

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#representation-theory #lie-algebras #verma-modules
39
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The function $\psi_s:su(2)\longrightarrow B(H_s)$ is a homomorphis

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#lie-groups #lie-algebras #group-homomorphism #semisimple-lie-algebras
152
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Surjectivity of the map $\operatorname{Ad}:\mathfrak{g}\to \operatorname{Der}(\mathfrak{g})$ if $\mathfrak{g}$ is semisimple

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#linear-algebra #lie-algebras
681
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Lie group homomorphism induces Lie algebra homomorphism, proof with Ad and ad

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#differential-geometry #lie-groups #lie-algebras
195
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Exterior powers of standard representation of $\mathfrak{sp}(2d, \mathbb C)$

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#reference-request #representation-theory #lie-algebras
137
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Writing a Lie algebra as a sum of two ideals

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#linear-algebra #lie-algebras #ideals #semisimple-lie-algebras
374
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Difference between Free Lie algebra and universal enveloping algebra

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#abstract-algebra #lie-algebras #free-lie-algebra
1.4k
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Developing intuition for Lie groups and Lie algebras

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#lie-groups #lie-algebras #intuition #matrix-exponential
320
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Examples of central series which are not lower central series.

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#group-theory #lie-algebras
50
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Exponentiation of the Euclidean algebra $\text{e}(n)$

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#lie-groups #lie-algebras

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