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15
108
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Map to a Lie group as exponential of a map to the Lie algebra

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#differential-geometry #lie-groups #lie-algebras
167
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Tensor product of $Spin(2k)$ representations

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#group-theory #representation-theory #lie-groups #lie-algebras
556
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Determining if a (Lie algebra) central extension is trivial.

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#reference-request #lie-groups #lie-algebras #group-cohomology #group-extensions
51
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Is there a general formula for the following Lie algebra quantity?

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#representation-theory #lie-algebras #spin-geometry
456
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Four dimensional nilpotent real Lie algebras

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#lie-algebras #nilpotence
192
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Moment map in general

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#differential-geometry #reference-request #lie-algebras #group-actions #vector-fields
54
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Prove that a subgroup in a Lie group is homogeneous

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#real-analysis #abstract-algebra #lie-groups #lie-algebras #topological-groups
344
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Why simply connected solvable analytic groups have no nontrivial compact subgroups?

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#lie-groups #lie-algebras #solvable-groups
321
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Showing $\ker(\phi)$ is a $\mathfrak{g}$-invariant subspace of $V$.

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#abstract-algebra #modules #lie-algebras
154
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An algebra with an antisymmetric product that is not a Lie algebra?

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#abstract-algebra #lie-algebras
68
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Distinct real N tuples can be dotted by another to give distinct real numbers

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#vector-spaces #lie-algebras
584
Views

Is the exponential map to the indefinite special orthogonal groups $SO^+(p,q)$ surjective?

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#differential-geometry #lie-groups #lie-algebras #special-relativity
489
Views

Universal Enveloping Algebra of $\mathfrak{gl}(n,\Bbb R)$

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#linear-algebra #abstract-algebra #lie-groups #lie-algebras
192
Views

Bilinear forms on Lie algebras that vanish on commuting elements

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#linear-algebra #abstract-algebra #lie-algebras #bilinear-form
138
Views

Representation of indefinite Kac-Moody algebras

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#reference-request #representation-theory #lie-algebras

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