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Derivative map for connected Lie groups is injective

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#lie-groups #lie-algebras
148
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Decomposition of a connection on a principal bundle

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#lie-groups #lie-algebras #fiber-bundles #connections #principal-bundles
33
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Matrices in SU(2)

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#linear-algebra #lie-groups
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Clarification of a proof of $RP^3\cong SO(3)$

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#general-topology #lie-groups
197
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Semisimple and reductive Lie group and algebra definitions in Wikipedia

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#lie-groups #lie-algebras
445
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The Maurer-Cartan form of a principal bundle?

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#differential-geometry #lie-groups #principal-bundles
64
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Which groups does $U(2)$ cover?

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#lie-groups #covering-spaces
134
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Discrete subgroups of $\mathbb R^1\times S^1$ such that the quotient is compact

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#differential-geometry #differential-topology #lie-groups #quotient-spaces
212
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Curvature of Lie group endowed with bi-invariant Riemmanian metric.

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#differential-geometry #lie-groups #riemannian-geometry #lie-algebras #curvature
337
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Is Lie group cohomology determined by restriction to finite subgroups?

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#abstract-algebra #lie-groups
95
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Does the quotient ${\mathrm{Sp}(n) \over \mathrm{U}(n)}$ have group structure?

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#lie-groups #quotient-spaces #quotient-group
40
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Spectral coordinates on Hermitian matrices

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#linear-algebra #matrices #lie-groups #diagonalization #hermitian-matrices
172
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Complex vector bundles associated to principal bundle on Riemann surface

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#differential-geometry #algebraic-topology #lie-groups #complex-geometry #vector-bundles
159
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Relation of basis of vector space $\mathfrak{sl}_2(\mathbb{R})$ - to subgroup generators in the Iwasawa decomposition?

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#lie-groups #lie-algebras
564
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perturbing rotation matrices as a means to pertub points in euclidean space.

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#matrices #euclidean-geometry #lie-groups #perturbation-theory

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