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Infinite Lie algebra

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#soft-question #lie-groups #lie-algebras
74
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Show that we have a smooth path in $T_1(G)$, the tangent space of a matrix group

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#lie-groups #lie-algebras
117
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Isotropy algebra for $U(n)$?

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#lie-groups #lie-algebras
273
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What is meant by the "functoriality of the adjoint representation"?

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#representation-theory #lie-groups #lie-algebras
52
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Finite dimensional algebraic representation of $SL_2(\mathbb{C})$

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#representation-theory #lie-groups #lie-algebras
192
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Bruhat decomposition and the order of the group.

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#lie-groups #lie-algebras #finite-fields #algebraic-groups
176
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Is the size of the conjugacy class of a given element in a compact Lie group always finite?

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#group-theory #lie-groups
244
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Showing that the commutator subgroup of a Lie group is a Lie subgroup

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#lie-groups
747
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Intuitive explanation for the connection between Lie Groups and projective spaces over $\mathbb{R}$, $\mathbb{C}$, and $\mathbb{H}$

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#group-theory #lie-groups #lie-algebras #projective-geometry #projective-space
1.8k
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Left Invariant vector field on SO(3)

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#lie-groups #lie-algebras
79
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A lie group $G$ is compact iff $G/H$ is.

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#differential-geometry #lie-groups
113
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Clarifying notation used in Lie groups

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#differential-geometry #lie-groups
298
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Decompose $V \otimes V \otimes V$ into irreducible representations of $SL_2(\mathbb{R})$

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#abstract-algebra #vector-spaces #representation-theory #lie-groups
1.6k
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Smoothness of the inversion map is redundant in the definition of Lie groups

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#differential-geometry #lie-groups
1.4k
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Relationship between Möbius transformations and flows/vector fields

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#complex-analysis #geometry #lie-groups #dynamical-systems #vector-analysis

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