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Linear homomorphisms of square matrices are conjugations

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#linear-algebra #matrices #lie-groups #lie-algebras
252
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Subspaces of Lie algebras

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#lie-groups #lie-algebras
629
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Killing forms and Hermitian inner products

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#lie-groups #lie-algebras #inner-products #root-systems
685
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How to prove the Lie bracket is infinitesimal commutator

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#lie-groups #lie-algebras
45
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How can I find the Weights of a Subalgebra

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#group-theory #representation-theory #lie-groups
270
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Why can we write the weights of a representation in terms of the simple roots?

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#group-theory #representation-theory #lie-groups #lie-algebras
282
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What is an infinitesimal automorphism of a connection?

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#differential-geometry #lie-groups #fiber-bundles #connections
280
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Maps that preserve tensor rank

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#linear-algebra #lie-groups #tensor-products #tensor-rank
340
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Adjoint representation and tangent vectors

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#differential-geometry #representation-theory #manifolds #lie-groups #lie-algebras
264
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At what position do we insert the new coefficient in the weights for extended Dynkin Diagrams?

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#group-theory #representation-theory #lie-groups #lie-algebras #dynkin-diagrams
69
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Can the following simple tensor preserving map exist?

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#linear-algebra #lie-groups #tensor-products #tensor-rank
277
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Are the torsion elements dense in every compact Lie group?

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#differential-geometry #lie-groups
331
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Right invariance of Casimir (Laplacian)

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#lie-groups #lie-algebras
3.9k
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How could a group be a manifold?

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#group-theory #analysis #differential-geometry #manifolds #lie-groups
416
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The Plate Trick and $SO(3)$

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#algebraic-topology #lie-groups #homotopy-theory

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