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Exponential of Lie bracket

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#lie-groups #lie-algebras
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Complex Lie groups

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#complex-analysis #lie-groups #abelian-groups #connectedness #unitary-matrices
148
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Homomorphism between Lie group and transformation groups

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#differential-geometry #lie-groups #lie-algebras
116
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Origin of the formula $\partial\log\det X=\operatorname{Tr}\left(X^{-1}\partial X\right) $

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#linear-algebra #matrices #analysis #lie-groups #matrix-calculus
39
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What is meant here by "element of the prime field corresponding to $a \in \mathbb{Z}$"?

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#lie-groups #lie-algebras #finite-fields #extension-field #groups-of-lie-type
77
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Explicit inverse of the spin homomorphism $PSL(2,\mathbb C)\to SO(3,1)^+$

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#reference-request #lie-groups #semisimple-lie-algebras
29
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If $H$ acts freely and properly on $G$, then $H$ also acts freely and properly on any subgroup of $G$.

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#group-theory #lie-groups #smooth-manifolds #group-actions
115
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$O(n)$ is a closed subset of $U(n)$

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#general-topology #manifolds #lie-groups
55
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Using Lie algebra to get results on groups

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#abstract-algebra #lie-groups #lie-algebras
262
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Left invariant vector field of a closed Lie subgroup of $GLn(\mathbb R)$

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#differential-topology #lie-groups #lie-algebras
271
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Can a simply-connected Lie group have a non-trivial central extension by a discrete group?

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#lie-groups
72
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Finite-dimensional compact groups

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#lie-groups #compactness #locally-compact-groups
118
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Relationship between Involutive autoumorphism in a compact Lie group and in it's underlying reductive group.

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#linear-algebra #algebraic-geometry #algebraic-topology #lie-groups #lie-algebras
1k
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Infinitesimal Generators of Lie Group Actions

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#differential-geometry #lie-groups #lie-algebras
59
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Closed Lie subgroups

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#lie-groups

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