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Adjoint representation identity

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#differential-geometry #lie-groups #lie-algebras
377
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Is any homomorphism $\Bbb R\to\mathrm U(1)$ an exponential?

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#group-theory #lie-groups #topological-groups
158
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Is this lie subgroup of $SO(3)$ equal to the rotations around a fixed axis?

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#differential-geometry #lie-groups #lie-algebras #smooth-manifolds
537
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Show that the generators of the adjoint representation of $U(N)$ are hermitian.

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#representation-theory #lie-groups #lie-algebras #unitary-matrices
107
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What is the decomposition of of 120 and 128 reps of $SO(16)$ under $SO(12)\times SO(4)$?

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#group-theory #representation-theory #lie-groups
118
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De Rham cohomology of a matrix lie group.

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#differential-geometry #lie-groups
1.9k
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This example of (infinitesimal) generators of $U(2)$ and the adjoint representation.

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#representation-theory #lie-groups #lie-algebras
290
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Are closed subgroups of positive measure open?

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#abstract-algebra #measure-theory #lie-groups #topological-groups
366
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Is the solution of a non-stationary differential equation always a diffeomorphism?

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#ordinary-differential-equations #lie-groups #lie-algebras
69
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Expressing positive symmetric function with harmonic functions

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#lie-groups #harmonic-functions #symmetric-functions
226
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Tangent spaces of linear Lie groups

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#abstract-algebra #lie-groups #smooth-manifolds
992
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Rank of Lie group homomorphisms

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#manifolds #lie-groups #smooth-manifolds
293
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Lie Ideal generated by one element

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#lie-groups #lie-algebras
39
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Discrete subspaces of Lie groups

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#manifolds #lie-groups #smooth-manifolds
97
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Inf-dimensional highest weight modules of $sl(2,\mathbb C)$ (discrete series) do not come from representations of $SL(2,\mathbb C)$

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#representation-theory #lie-groups #lie-algebras

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