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15
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$H$ normal iff $Lie(H)$ is an ideal.

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#lie-groups #lie-algebras #ideals #normal-subgroups
64
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Isomorphism between $\bigwedge^2\mathbb R^3$ and the dual of $\mathfrak{so}(3)$

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#lie-algebras #exterior-algebra #vector-space-isomorphism
17
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$\mathfrak{h}\subsetneq \operatorname{Lie}(\operatorname{exp}(h))$ possible?

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#lie-groups #lie-algebras
74
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Map of the enveloping algebra to the ring of differential operators

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#algebraic-geometry #lie-algebras #noncommutative-algebra
255
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Finding a basis for the weight space of $(\mathbb C^{n+1})^{\otimes \ell}$ of weight $\omega_\ell$

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#representation-theory #lie-algebras
655
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Diffeomorphism theorem for Lie Groups?

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#manifolds #lie-groups #lie-algebras #smooth-manifolds
74
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Lie's theorem, different formulations

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#lie-algebras #triangularization
127
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Show that the maximal toral sublgebra is self noramalizing

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#lie-algebras
66
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Find the complexification of a Lie Algebra

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#group-theory #lie-groups #lie-algebras
178
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Second cohomology group of an affine Lie algebra

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#representation-theory #lie-algebras #group-cohomology
669
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Character of Verma Module

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#representation-theory #lie-algebras
404
Views

Is the Lie algebra morphism induced by injective/surjective Lie group morphism also injective/surjective?

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#lie-groups #lie-algebras
243
Views

Harish Chandra isomorphism:Invariant polynomial functions

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#linear-algebra #lie-algebras #weyl-group #symmetric-algebra
66
Views

Given Lie algebra data, how to find its group in maplesoft software?

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#lie-groups #lie-algebras #maple
161
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Why do I get Lie(matrix Lie group)=$\mathfrak{gl}_n(\mathbb{R})$?

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#lie-groups #lie-algebras

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