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15
152
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Correspondence between $C^k$-vector fields and $C^k$-Diffeomorphisms

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#differential-geometry #lie-groups #smooth-manifolds #vector-fields
50
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Ricci tensor of Lie group is independent of the bi-invariant metric

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#differential-geometry #lie-groups #riemannian-geometry
413
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Can the exponential map (in Lie theory) be considered an example of a functor?

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#category-theory #lie-groups #lie-algebras #functors
45
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Rewriting exponential function for a se(3) with application to computer perception algorithm

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#lie-groups #lie-algebras #matrix-exponential
324
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Adjoint action of special orthogonal groups on their Lie algebras

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#group-theory #lie-groups #lie-algebras #orthogonal-matrices #semisimple-lie-algebras
339
Views

Proving $SU(n-1) $is a subalgebra of $SU(n)$ algebra.

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#group-theory #lie-groups #physics
282
Views

Surjective homomorphism from indefinite orthogonal group $O(p,q)$ to ${\{-1,1}\}^2$

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#linear-algebra #abstract-algebra #group-theory #differential-geometry #lie-groups
204
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Are there Lie groups in fractional dimension?

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#lie-groups #fractals
70
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Verify that a submanifold is Poisson

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#differential-geometry #lie-groups #group-actions #poisson-geometry
117
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On proving the surjectivity of the exponential map for compact Lie groups using properties of their Lie algebras

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#lie-groups #lie-algebras #smooth-manifolds #matrix-exponential
156
Views

Just what *is* $D$ in Analysis

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#differential-geometry #category-theory #differential-topology #lie-groups #differential-operators
222
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Homotopy group of sphere and Hopf invariant

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#algebraic-topology #differential-topology #lie-groups #hopf-fibration
45
Views

Show that $GL(n , \mathbb{Z}_{p})$ has no finite dimensional faithful representation

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#abstract-algebra #lie-groups
50
Views

Use Urysohn's Lemma to make integral non-zero

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#abstract-algebra #lie-groups
53
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Proof Question on Open Kernel

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#abstract-algebra #lie-groups

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