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Troubles in verifying that a map is a representation of a Lie Algebra.

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#lie-algebras
1k
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Explicit expressions of inner / outer automorphism of special unitary group SU(n)

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#representation-theory #lie-groups #lie-algebras #automorphism-group
281
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Explicit expressions of inner / outer automorphism of special orthogonal group SO(N)

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#group-theory #representation-theory #lie-groups #lie-algebras #automorphism-group
139
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Is Whitehead lemma true for super Lie algebras?

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#linear-algebra #lie-algebras #homological-algebra #superalgebra #lie-superalgebras
160
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Explicit expressions of inner / outer automorphism of symplectic group

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#group-theory #representation-theory #lie-groups #lie-algebras #automorphism-group
204
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Non-abelian Cartan subalgebras

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#lie-algebras #finite-fields
84
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What is the group of the Lie algebra generated by $\{a(E_{12}-E_{21}),u E_{13},v E_{23}\}$?

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#lie-groups #lie-algebras
118
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Computing the differential of this map

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#multivariable-calculus #differential-geometry #differential-topology #lie-groups #lie-algebras
160
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Lie algebra of vector fields on a manifold - perfect?

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#differential-geometry #lie-algebras #vector-fields
184
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Degrees of freedom in Lie algebra structure constants

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#lie-algebras
425
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Where does the symplectic structure on coadjoint orbits of Lie groups on their Lie algebras come from?

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#differential-geometry #lie-groups #lie-algebras #symplectic-geometry
191
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Norm for adjoint action and relation to norm of matrix?

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#matrices #lie-algebras #operator-algebras
304
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Is killing form a norm?

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#linear-algebra #lie-algebras
861
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Showing highest weight vectors are weight vectors

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#representation-theory #lie-groups #lie-algebras
368
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Witt dimension formula for free Lie Algebras

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#abstract-algebra #proof-explanation #lie-algebras

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