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Is the group of translations on a spherical topology tied to the group of rotations of that sphere?

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#differential-geometry #lie-groups #principal-bundles
1.2k
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Clarification of relation between $SL(2,\mathbb{R})$ and $Sp(2,\mathbb{R})$

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#group-theory #lie-groups #group-isomorphism #group-homomorphism
75
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Semisimple algebraic subgroup of $GL(V)$.

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#lie-groups #algebraic-groups
50
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Norm of a Lie group element through representations

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#functional-analysis #representation-theory #lie-groups
263
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Adjoint representation of Lie Groups

Published on
#differential-geometry #lie-groups
57
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Examples of functions mapping rotation matrices to rotations

Published on
#lie-groups #rotations
74
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Functions on a group. Functions of the inverse element.

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#group-theory #measure-theory #lie-groups
71
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A topological detail in the definition of Lie group

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#general-topology #lie-groups #topological-groups
247
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Are all matrix groups Lie groups?

Published on
#linear-algebra #lie-groups
83
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A curious non-abelian continuous structure defined by three different group extensions

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#group-theory #lie-groups #group-extensions
197
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Support of the convolution of two measures

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#measure-theory #lie-groups #topological-groups #haar-measure
122
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(Cardinality of the set of) Homotopy classes of continuous maps

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#algebraic-topology #lie-groups #homotopy-theory
55
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Explicit form of rotation matrix mapping x to y

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#linear-algebra #linear-transformations #lie-groups #rotations
338
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Why a submanifold is an open subset of its closure?

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#group-theory #differential-geometry #manifolds #lie-groups #submanifold
483
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Characterizing the tangent space of a Lie group at an arbitrary point

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#lie-groups #lie-algebras #tangent-spaces

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