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In what sense can the Lie algebra of $GL_n(\mathbb{C})$ be "identified" with $M_n(\mathbb C)$?

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#matrices #lie-groups #lie-algebras
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Does triality survive in product Lie groups?

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#physics #lie-groups #lie-algebras
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Special orthogonal group as a manifold

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#differential-geometry #lie-groups #manifolds
82
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Do there exist families of groups $G_{s}$ such that $\forall s\in[0,1], |G_{s}|=\mathfrak{c}$

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#group-theory #lie-groups
256
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Form of isomorphisms between subgroups of GLn

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#linear-algebra #representation-theory #lie-groups
1.5k
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Proper, smooth action with singular orbit space

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#differential-geometry #lie-groups
874
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SO(n) bi-invariant metric

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#differential-geometry #lie-groups
1.6k
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Complete reducibility of sl(3,F) as an sl(2,F)-module

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#representation-theory #lie-groups #lie-algebras
896
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Map from $SL(2,\mathbb C)/SU(2)$ to $SL(2,\mathbb C)$

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#lie-groups
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Centers of quotients of Lie Groups

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#representation-theory #lie-groups
813
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Special functions as representations of Lie Groups

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#special-functions #lie-groups
182
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The Grassmanian as a Homogenous Space and Related Spaces

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#lie-groups
740
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Maximal tori in U(2)

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#lie-groups
190
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Lie group multiplication/Parameter space

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#abstract-algebra #group-theory #lie-groups
64
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$O(3)$ after identifying certain rotations

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#lie-groups #lie-algebras #rotations

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