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Link between affine connections and Lie brackets

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#differential-geometry #manifolds #differential-topology #lie-groups #riemannian-geometry
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Tangent Vectors of Orthogonal Group Are Skew Symmetric matrices

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#differential-geometry #lie-groups #smooth-manifolds
99
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Show that $L(A)$ is a subalgebra of $L(G)$.

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#group-theory #lie-groups #lie-algebras
223
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Fundamental group of U(n)/O(n) (revisited)

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#algebraic-topology #lie-groups #fundamental-groups
105
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Real forms of Lie subalgebras

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#lie-groups #lie-algebras
439
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On connected components of a topological/Lie group

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#abstract-algebra #group-theory #lie-groups #topological-groups
508
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What is the differential of the adjoint action of a Lie group, $\partial_t{\rm Ad}(\gamma(t))V(t)$?

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#differential-geometry #lie-groups #lie-algebras
439
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Is the parallel transport on an associated $G$-bundle given by $G$-action in a local $G$-bundle chart?

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#differential-geometry #representation-theory #lie-groups #lie-algebras
482
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Lie Groups - The exponential map as a global diffeomorfism

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#lie-groups #lie-algebras
154
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Representation theory's usability after one course

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#soft-question #representation-theory #lie-groups
2k
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What are the simply-connected two-dimensional Lie groups?

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#lie-groups
44
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Showing that a certain Lie Group is diffeomorphic to $\mathbb{R}^{3}$

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#manifolds #lie-groups
1k
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Proof that the Lorentz Group SO(3,1) is a manifold

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#group-theory #differential-geometry #manifolds #lie-groups
451
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Finding Lie algebra of Lie group

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#group-theory #lie-groups #lie-algebras
75
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What are the curves of constant affine curvature in dimension $>2$? Are they still polynomial?

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#differential-geometry #reference-request #lie-groups #curves #curvature

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