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Product of all rotation matrices in $\mathrm{SO}(3)$

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#real-analysis #lie-groups
356
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$3\times 3$ symmetric matrix with signature $(2,1)$

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#linear-algebra #general-topology #lie-groups
248
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establishing an isomorphism

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#lie-groups #lie-algebras
291
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Does the $O(n)$ bundle of a manifold depend on the metric?

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#differential-geometry #lie-groups #riemannian-geometry
163
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Lie algebra 3 Dimensional with 2 Dimensional derived lie algebra #2

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#lie-groups #lie-algebras
91
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An admissible set's graph being triple-edged means it corresponds to $G_2$?

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#lie-groups #graphing-functions #coxeter-groups #dynkin-diagrams
897
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Quaternions as group of rotation and scaling

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#lie-groups #rotations
323
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How to prove that a lie group is simply connected

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#algebraic-topology #lie-groups #homotopy-theory
2.5k
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Is there a general expression for the adjoint representation of $U(N)$ or $u(N)$?

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#representation-theory #lie-groups #lie-algebras #adjoint-operators
92
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How to find the induced Lie algebra homomorphism

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#lie-groups
192
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Schur's first lemma for finitely generated continuous groups of $SU(d)$

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#representation-theory #lie-groups
1.7k
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Lie group and SO3 visualisation

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#intuition #lie-groups #visualization
2.8k
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$SU(2)$ Representation of $SO(3)$

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#reference-request #representation-theory #physics #lie-groups #mathematical-physics
8.3k
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Finding All Irreducible Representations of $SO(3)$

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#representation-theory #lie-groups #lie-algebras #tensor-products #mathematical-physics
1.6k
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Geometric interpretation of the map $SO(4) \to SO(3)$

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

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