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Coadjoint orbits coincide with symplectic leaves, Dufour's proof

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#differential-geometry #solution-verification #lie-groups #lie-algebras
80
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Decomposing $\mathfrak{sl}_2$ as a sum of irreducible representations $U(sl_2)$

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#representation-theory #lie-algebras #irreducible-representation
79
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Decomposing the representation $\mathfrak{sl}_2\otimes \mathfrak{sl}_2$ of $\mathfrak{sl}_2$

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#representation-theory #lie-algebras
99
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How to calculate $\text{End}(V^{\otimes n})$

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#representation-theory #lie-algebras #semisimple-lie-algebras #quantum-groups #tensor-decomposition
52
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Symmetric group: equation between standard representation and natural matrix representation

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#abstract-algebra #lie-algebras #coxeter-groups
66
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Lie Algebra of real numbers

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#lie-algebras
111
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A sum over roots of a simple Lie algebra

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#linear-algebra #group-theory #lie-algebras #semisimple-lie-algebras
318
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How do simple bivectors in $\mathbb{R^4}$ generate rotations?

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#linear-algebra #riemannian-geometry #lie-algebras #exterior-algebra
31
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Lie Algebra of Bivariate L2 Functions

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#lie-groups #lie-algebras
41
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Source for Lie groups and Lie algebras

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#reference-request #lie-groups #lie-algebras #mathematical-physics
130
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$\mathfrak{sl}(2,\mathbb{C})$-Invariant tensor associated to irreducible representations

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#matrices #representation-theory #lie-algebras #semisimple-lie-algebras
100
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The Killing form of a Lie algebra is $DER(\mathfrak{g})$-invariant

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#lie-algebras #differential-forms #semisimple-lie-algebras #casimir-tensors
55
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How to related the Chevalley basis with usual generators in su(N) algebra

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#lie-groups #lie-algebras
66
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The Schur multiplier of a Lie algebra

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#linear-algebra #lie-groups #lie-algebras #semisimple-lie-algebras
80
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The closure of the Tits' cone of a Kac-Moody Lie algebra

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#lie-algebras #root-systems #coxeter-groups #kac-moody-algebras

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