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15
103
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Schur's Lemma of the Version for Lie Algebras

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#modules #representation-theory #lie-groups #lie-algebras #representation-of-algebras
23
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Baker-Campbell-Hausdorff valid in representations?

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#representation-theory #lie-groups #lie-algebras
78
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Dynkin's formula for Baker–Campbell–Hausdorff on Wikipedia

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#sequences-and-series #lie-groups #lie-algebras #generating-functions
66
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p-adic Lie groups v.s. real Lie groups in philosophies

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#group-theory #lie-groups #topological-groups #algebraic-groups #geometric-group-theory
51
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Exponential map for matrix Lie groups and smallness of the argument

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#differential-geometry #lie-groups #lie-algebras #matrix-exponential
46
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What is the (Lie) Algebra generated by commutator of Lie group elements (in a linear representation)?

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#representation-theory #lie-groups #lie-algebras
45
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What is $\pi_3(SU(4)/SU(2))$?

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#lie-groups #homotopy-theory
39
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Proof that $GL(n,\mathbb{C})$ is isomorphic to a properly embedded Lie subgroup of $GL(2n,\mathbb{R})$

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#manifolds #lie-groups #smooth-manifolds #general-linear-group
59
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Is the irreducible $ SU(3) $ subgroup of $ SU(6) $ maximal?

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#group-theory #finite-groups #representation-theory #lie-groups #maximal-subgroup
56
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Normalizer of connected subgroup

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#finite-groups #lie-groups
92
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Weyl group acting on integral lattice

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#reference-request #lie-groups #root-systems
21
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Lattice not contained in any connected subgroup is not contained in any positive dimensional subgroup

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#lie-groups #lattices-in-lie-groups
76
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Discrete subgroups of Lie groups other than Lattices

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#group-theory #lie-groups #geometric-group-theory
95
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Proving that the Lie algebra of the Lie group of a torus Lie$(\mathbb{T}^n)$ is isomorphic to $\mathbb{R}^n$

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#differential-geometry #manifolds #lie-groups #lie-algebras #smooth-manifolds
46
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Prove that the composition of Lie algebra derivations need not be a derivation.

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#lie-groups #lie-algebras #derivations

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