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15
67
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Derivative of squared geodesic distance w.r.t. a tangent vector on so(3)

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#lie-groups #lie-algebras #rotations #lie-derivative
56
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Collection of $\{xU\}$ are neighbourhoods of $x$

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#differential-geometry #lie-groups #differential-topology
90
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Does the action of $\rm{GL}(n)$ on Lie brackets preserve the Jacobi identity?

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#algebraic-geometry #lie-groups #lie-algebras
93
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Differential forms on quotient Lie group

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#lie-groups #lie-algebras #differential-forms
38
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Lie algebra isomorphism $\mathfrak{spin}^+(t,s)\rightarrow so^+(t,s)$

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#differential-geometry #lie-groups #lie-algebras #clifford-algebras #spin-geometry
52
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Multiplication and inversion preserve the identity component in a Lie group

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#general-topology #differential-geometry #lie-groups #smooth-manifolds
35
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If central extensions are isomorphic as principal bundles, are they isomorphic as extensions?

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#group-theory #lie-groups #central-extensions
60
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Computing Lie Bracket Using Properties

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#abstract-algebra #differential-geometry #lie-groups
49
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Is it possible to have two finite order topological generators of a noncompact Lie group?

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#group-theory #representation-theory #lie-groups #topological-groups
59
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Frobenius reciprocity for reductive groups

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#representation-theory #lie-groups #characters
86
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$\{I\}\times V^n$ is a closed submanifold of $O(n)\times V^n$

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#general-topology #manifolds #lie-groups
49
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Conjugate subgroups with sufficiently large intersection are equal

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#group-theory #finite-groups #representation-theory #lie-groups
22
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constructing principal $G$-bundles over a topological space

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#general-topology #algebraic-topology #lie-groups #principal-bundles
48
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Uniqueness of extension for irreducible subgroups of $ SU(n) $

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#representation-theory #lie-groups
31
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What is the derivative of general 3D rotation with respect to one angular component?

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#lie-groups #lie-algebras #rotations #lie-derivative

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