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Embed SU(2) into SO(6) or SU(4)

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#group-theory #representation-theory #lie-groups #lie-algebras #tensor-decomposition
500
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Show that if $A$ commutes with every matrix of certain form, then $A$ commutes with every matrix in $M_2(\mathbb{C})$

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#linear-algebra #matrices #lie-groups
215
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Is a finite covering space of a unimodular Lie group unimodular?

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#algebraic-topology #lie-groups
114
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The quotient space of U(n)/SO(m)

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#manifolds #lie-groups #smooth-manifolds #quotient-spaces #homogeneous-spaces
914
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Why is not possible to show that $S^7$ is a Lie Group in the following way?

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#lie-groups #smooth-manifolds #octonions
49
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Equivalent Definitions of Finite Groups of Lie type

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#abstract-algebra #finite-groups #lie-groups #lie-algebras
347
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How to obtain a diffeomorphism between $SL(2;\mathbb{C})$ and $S^{3}×\mathbb{R}^{3}$?

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#real-analysis #linear-algebra #abstract-algebra #lie-groups
117
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What does "composing" mean when symmetry reducing a differential equation?

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#ordinary-differential-equations #lie-groups #lie-algebras
67
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Ricci-Flat Riemannian Symmetric Spaces

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#differential-geometry #lie-groups
243
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Infinitesimal generator of a smooth $S^1$-action over $\mathbb C$

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#differential-geometry #lie-groups #smooth-manifolds #symplectic-geometry
93
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Iwasawa integration formula

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#integration #lie-groups #lie-algebras #root-systems
452
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Show that $SO(3)$ in an embedded submanifold of $\mathbb{R}^{3 \times 3}$

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#matrices #differential-geometry #lie-groups #rotations #submanifold
88
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Coordinate system on linear Lie group G.

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#lie-groups #lie-algebras
1.5k
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Lie bracket of vector fields is a vector field

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#algebraic-topology #manifolds #lie-groups #lie-algebras #vector-fields
329
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Discrete normal subgroup of a connected linear lie group

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#group-theory #lie-groups #lie-algebras #normal-subgroups

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