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Formula for derivative of Lie group element

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#lie-groups #lie-algebras
768
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The symplectic group is simply connected

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#lie-groups #connectedness #symplectic-geometry
229
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Uniqueness of smooth structure on the Isometry group from Steenrod-Myers theorem

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#lie-groups #riemannian-geometry #smooth-manifolds #isometry
72
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How to get homomorphism from $\mathfrak{U}(\mathfrak{g}) \to Diff(M)$ from an action $G \curvearrowright M$

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#lie-groups
106
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How to show $Spin^c(V)$ is isomorphic to $Spin(V)\times_{Z_2} S^1$?

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#lie-groups #lie-algebras #group-actions #clifford-algebras #classical-groups
208
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Fundamental group of $Spin^c(V)$

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#lie-groups #lie-algebras #fundamental-groups #clifford-algebras
2.7k
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What is the Lie algebra of the Euclidean group?

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#differential-geometry #lie-groups #lie-algebras
261
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Why look at canonical form when studying Lie algebras and Lie groups?

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#matrices #lie-groups #lie-algebras
1.1k
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What does this gigantic C mean?

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#lie-groups #lie-algebras #algebraic-groups #root-systems
119
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Reducibility of unitary representations

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#representation-theory #lie-groups
60
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How to show that $G = \{X \in GL(n,\mathbb R): X^{t}AX= A\}$ is a Lie group?

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#differential-topology #lie-groups
39
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Smoothness of averaged forms

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#differential-geometry #lie-groups #differential-forms
286
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Transitive action of the symplectic group

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#lie-groups #group-actions #symplectic-geometry
946
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Existence of a bi-invariant volume form $\Rightarrow$ existence of a bi-invariant metric?

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#lie-groups #riemannian-geometry #volume #symmetry
81
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Existence of connection invariant under gradient field flow

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#differential-geometry #lie-groups #riemannian-geometry

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