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On normal subgroups of $Iso(2)$

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#proof-verification #lie-groups #lie-algebras
212
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Can a point have a nontrivial isometry group?

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#lie-algebras #quaternions #projective-space #isometry #octonions
120
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Derive the commutation relation

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#group-theory #representation-theory #lie-groups #lie-algebras
74
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If $A(t)\in SO(3)$, why is $\dot{A}(t)A(t)^{-1}\in\mathfrak{so}(3)$?

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#lie-groups #lie-algebras
325
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Find the dimension of the real Lie algebra su(n)={A∈sln(C)|A+A∗ =0}, A∗ =A(conjugate transpose)

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#lie-algebras #vector-space-isomorphism
174
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matrix lie group

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#differential-geometry #lie-groups #lie-algebras
258
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How do I derive this formula from gauge theory?

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#differential-geometry #lie-groups #lie-algebras #differential-forms #gauge-theory
57
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Inversion of Lie subspace in Cartan decomposition

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#lie-groups #lie-algebras #matrix-calculus #matrix-decomposition
95
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about derivation for Leibniz algebras

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#lie-algebras #lie-derivative
41
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rank of exterior derivative

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#lie-algebras
942
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Representation of an Abelian Lie algebra

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#linear-algebra #abstract-algebra #lie-algebras
2k
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Adjoint representation - A working example

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#lie-algebras #adjoint-operators
139
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Why ad(H) has trace 0, if H has trace 0

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#linear-algebra #lie-algebras
1.1k
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The Taylor series for product of Lie group elements

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#lie-groups #taylor-expansion #lie-algebras
1.7k
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Are all irreducible representations of solvable Lie algebras 1-dimensional?

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#representation-theory #lie-algebras

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