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15
48
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Using Group Symmetries to Translate a Solution Along Itself

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#ordinary-differential-equations #differential-geometry #partial-differential-equations #lie-groups
51
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$p$-torsion in fundamental group of Lie group.

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#lie-groups #homology-cohomology #fundamental-groups
42
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Diagonal action, universal bundle and Lie subgroup

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#lie-groups #classifying-spaces
37
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(Topological) Perfection of an infinite-dimensional Lie group implies the same for its Lie algebra?

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#differential-geometry #lie-groups #lie-algebras
50
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Laplace-Beltrami on $SO(3)$

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#representation-theory #lie-groups #lie-algebras
61
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Product of unipotent subgroups is unipotent

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#lie-groups #algebraic-groups
89
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Doubts in the proof that a subgroup $H$ of a Lie group $G$ that is a submanifold of $G$ is (topologically) closed in $G$

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#general-topology #differential-geometry #lie-groups #topological-groups
65
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semisimple category and characters

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#abstract-algebra #algebraic-geometry #commutative-algebra #representation-theory #lie-groups
41
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Proof that projective representations are given by unitary representations of the covering group

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#lie-groups #lie-algebras
131
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Prove that $\operatorname{SL}(n,\Bbb R)$ is connected using the decomposition $\exp(A)\exp(S)$

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#linear-algebra #general-topology #matrices #lie-groups #lie-algebras
133
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Prove the flow of the left-invariant vector field $w_X$ at time $t$ is$\Phi_X^t(g)=g\exp (tX), t \in \mathbb R, g \in G$

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#differential-geometry #lie-groups #lie-algebras #smooth-manifolds
72
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How to understand such a function $g(I+X)$?

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#derivatives #lie-groups #function-and-relation-composition #smooth-functions
67
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Lie algebra of operators isomorphic to some matrix Lie subgroup

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#lie-groups #lie-algebras
113
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Correspondence Lie group/Torus and Lie algebra/CSA

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#representation-theory #lie-groups #lie-algebras #weyl-group
79
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Left divisor of a fibration by compact Lie group is a fibration.

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#algebraic-topology #lie-groups #homotopy-theory #fibration

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