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Abelian Lie group representation

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#group-theory #representation-theory #lie-groups #lie-algebras #abelian-groups
788
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Definition of a left-invariant vector field

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#differential-geometry #lie-groups #riemannian-geometry #smooth-manifolds
301
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To show that left invariant vector fields are completely determined by their values at a single point

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#proof-verification #lie-groups #riemannian-geometry #smooth-manifolds
99
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Understanding the 1-parameter subgroup action

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#differential-geometry #manifolds #lie-groups #lie-algebras
547
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Any smooth vector field is a linear combination of left invariant vector fields

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#differential-geometry #lie-groups #riemannian-geometry #smooth-manifolds
97
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Derivation space as an algebra

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#group-theory #lie-groups #lie-algebras #automorphism-group
95
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Closed subgroup of $GL({\cal A})$

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#group-theory #lie-groups #lie-algebras #group-isomorphism
122
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When (if ever) does a connection on a Lie manifold G define that groups Lie algebra?

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#differential-geometry #lie-groups #lie-algebras #connections
27
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Close points on a Lie Group with Left-Invariant Metric

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#lie-groups #riemannian-geometry
1.6k
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What does 'closed group' mean?

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#group-theory #lie-groups
204
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$f_*$ isomorphism $\Rightarrow$ $f$ isomorphism?

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#group-theory #lie-groups #lie-algebras
202
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No semisimple Lie group acting on Klein bottle

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#algebraic-topology #lie-groups #topological-groups
188
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Decomposition of $SO(10)$ into $SU(4)$

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#group-theory #representation-theory #lie-groups #lie-algebras #branching-rules
41
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Does this specific SO(4) matrix have to be block-diagonal?

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#matrices #lie-groups #orthonormal
761
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Is the image of a Lie-subalgebra under the exponential map a subgroup?

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#differential-geometry #lie-groups #lie-algebras

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