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Connected Lie group is second countable?

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#lie-groups #connectedness #topological-groups #locally-compact-groups #separation-axioms
119
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Lipschitz maps on locally compact groups

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#group-theory #analysis #metric-spaces #lipschitz-functions #locally-compact-groups
808
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Haar measure on a profinite group is the inverse limit of the counting measure on its quotients?

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#group-theory #measure-theory #locally-compact-groups #profinite-groups
162
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Explicit constructions of Haar measures?

Published on
#measure-theory #locally-compact-groups
77
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Almost periodic compactification with the Gelfand-Naimark theorem

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#functional-analysis #compactness #topological-groups #c-star-algebras #locally-compact-groups
332
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Second orthogonality relation for compact groups

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#representation-theory #locally-compact-groups
66
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*-representations, unitary representations, and adjunctions

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#representation-theory #harmonic-analysis #locally-compact-groups
2.5k
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Reference for Harmonic Analysis?

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#functional-analysis #representation-theory #spectral-theory #harmonic-analysis #locally-compact-groups
631
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How many group structures make $S^1$ a topological group?

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#group-theory #lie-groups #topological-groups #locally-compact-groups
165
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For a Borel action of a locally compact second countable group G on a standard Borel space S, are the orbits always Borel?

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#descriptive-set-theory #locally-compact-groups
1.9k
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Haar measure of quotient group

Published on
#topological-groups #locally-compact-groups
151
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$G$-invariant functions on Manifolds

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#symplectic-geometry #locally-compact-groups #geometric-invariant
221
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Does a lattice in $SL_n(\mathbb R)$ which is contained in $SL_n(\mathbb Z)$ have finite index in $SL_n(\mathbb Z)$?

Published on
#lie-groups #locally-compact-groups #lattices-in-lie-groups
569
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Conditions under which a convolution transformation is injective in the 1-d Torus

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#convolution #integral-transforms #locally-compact-groups
50
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Continuous functions on compact group and uniformity

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#functions #abelian-groups #locally-compact-groups

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