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Induction step of proof of 'Every element of $O(n)$ is product of hyperplane reflections'

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#linear-algebra #matrices #group-theory #lie-groups #orthogonal-matrices
1.6k
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Lie Group and Lie Algebra Homomorphisms

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#lie-groups #lie-algebras
610
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Show invariance under linear transformation

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#group-theory #linear-transformations #lie-groups #lie-algebras #mathematical-physics
178
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Is this a correct proof that the center of a Hausdorff group is closed?

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#general-topology #group-theory #lie-groups #topological-groups
682
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Definition of reductive homogeneous space

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#differential-geometry #lie-groups #lie-algebras #homogeneous-spaces
142
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Lie groups reference which is gentle with differential geometry

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#differential-geometry #reference-request #lie-groups
67
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killing Form is null for some elements of Lie algebra of symplectic group

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#linear-algebra #lie-groups #lie-algebras #symplectic-linear-algebra
33
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Root system of Lie algebra: right angle => not simple?

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#group-theory #lie-groups #lie-algebras #root-systems
25
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morphism $df : Lie(\Bbb R, +) \to Lie(S^1)$

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#linear-algebra #lie-groups #lie-algebras
65
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A direc sum of nilpotent Lie algebras such that $C^n(\mathfrak{g}) \subsetneq \mathfrak{z}(\mathfrak{g})$

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#lie-groups #lie-algebras
34
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When the identity component of an abstract subgroup is a Lie subgroup

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#general-topology #lie-groups #algebraic-groups
287
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Haar-measure in KAK decomposition of $SL(2,\mathbb{R})$

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#measure-theory #lie-groups #lie-algebras #haar-measure
70
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Complex-analytic argument that $\mathrm{SL}(2,\mathbb R)$ acts isometrically on $\mathbb H^2 \subseteq \mathbb C$

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#complex-analysis #differential-geometry #lie-groups #riemannian-geometry #hyperbolic-geometry
140
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Example of non-cocompact lattice in a specific topological group

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#group-theory #differential-geometry #lie-groups #topological-groups #lattices-in-lie-groups
431
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generators of Sp(8)

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#matrices #lie-groups #lie-algebras #symplectic-linear-algebra

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